Pub Date : 2026-01-22DOI: 10.1016/j.topol.2026.109738
Wenfeng Zhang
In this paper, we define and study -convergence and -liminf convergence in spaces, which can be seen as topological counterparts of -convergence and liminf convergence in posets, respectively. Especially, we give sufficient and necessary conditions for -convergence and -liminf convergence in spaces to be topological.
{"title":"GD-liminf convergence in T0 spaces","authors":"Wenfeng Zhang","doi":"10.1016/j.topol.2026.109738","DOIUrl":"10.1016/j.topol.2026.109738","url":null,"abstract":"<div><div>In this paper, we define and study <span><math><mi>GD</mi></math></span>-convergence and <span><math><mi>GD</mi></math></span>-liminf convergence in <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> spaces, which can be seen as topological counterparts of <span><math><mi>S</mi></math></span>-convergence and liminf convergence in posets, respectively. Especially, we give sufficient and necessary conditions for <span><math><mi>GD</mi></math></span>-convergence and <span><math><mi>GD</mi></math></span>-liminf convergence in <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> spaces to be topological.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"381 ","pages":"Article 109738"},"PeriodicalIF":0.5,"publicationDate":"2026-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146080689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-20DOI: 10.1016/j.topol.2026.109737
Luong Quoc Tuyen , Nguyen Xuan Truc , Ong Van Tuyen
In this paper, we introduce and investigate the notions of cs-star and compact-star networks at arbitrary subsets in topological spaces, together with their relationships to the images of metric spaces under certain mappings at such subsets. In addition, several new related concepts are proposed, enabling us to establish a number of new results and to recover, as particular cases, some results previously obtained by S. Lin, Y. Ge and X. Zhou (2020).
{"title":"On cs-star and compact-star networks at subsets","authors":"Luong Quoc Tuyen , Nguyen Xuan Truc , Ong Van Tuyen","doi":"10.1016/j.topol.2026.109737","DOIUrl":"10.1016/j.topol.2026.109737","url":null,"abstract":"<div><div>In this paper, we introduce and investigate the notions of <em>cs</em>-star and compact-star networks at arbitrary subsets in topological spaces, together with their relationships to the images of metric spaces under certain mappings at such subsets. In addition, several new related concepts are proposed, enabling us to establish a number of new results and to recover, as particular cases, some results previously obtained by S. Lin, Y. Ge and X. Zhou (2020).</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"381 ","pages":"Article 109737"},"PeriodicalIF":0.5,"publicationDate":"2026-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146006830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-16DOI: 10.1016/j.topol.2026.109735
Francisco Balibrea , Lenka Rucká
In this paper we are interested in two open problems concerning distributional chaos in non-autonomous discrete dynamical systems as stated in [4] and [18]. As a negative answer to the first problem, we show that positive topological entropy of a pointwise convergent non-autonomous system (as well as distributional chaos of this system) does not imply distributional chaos of its limit map. This disproves a conjecture in [18]. In the second open problem it is wondered if the distributional chaos is a generic property of pointwise convergent non-autonomous systems. We show that the answer is negative for convergent systems on the Cantor set. On the other hand we prove, that distributionally chaotic systems form a dense, but not open (nor closed) set in the space of non-autonomous convergent systems on the interval, independent of the metric we use.
{"title":"Density of distributional chaos in non-autonomous systems","authors":"Francisco Balibrea , Lenka Rucká","doi":"10.1016/j.topol.2026.109735","DOIUrl":"10.1016/j.topol.2026.109735","url":null,"abstract":"<div><div>In this paper we are interested in two open problems concerning distributional chaos in non-autonomous discrete dynamical systems as stated in <span><span>[4]</span></span> and <span><span>[18]</span></span>. As a negative answer to the first problem, we show that positive topological entropy of a pointwise convergent non-autonomous system (as well as distributional chaos of this system) does not imply distributional chaos of its limit map. This disproves a conjecture in <span><span>[18]</span></span>. In the second open problem it is wondered if the distributional chaos is a generic property of pointwise convergent non-autonomous systems. We show that the answer is negative for convergent systems on the Cantor set. On the other hand we prove, that distributionally chaotic systems form a dense, but not open (nor closed) set in the space of non-autonomous convergent systems on the interval, independent of the metric we use.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"380 ","pages":"Article 109735"},"PeriodicalIF":0.5,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-16DOI: 10.1016/j.topol.2026.109736
Kirandeep Kaur , Nafaa Chbili
Champanerkar and Kofman [1] introduced a method for constructing quasi-alternating links by replacing a quasi-alternating crossing in a link diagram with a rational tangle of the same type. This approach, however, does not generally extend to alternating tangles of the opposite type or to non-alternating tangles.
In this paper, we identify sufficient conditions under which the construction remains valid when the crossing is replaced by an alternating rational tangle of opposite type. We also prove that this method applies to certain non-alternating pretzel tangles. As an application, we provide a table of non-alternating quasi-alternating knots with 13 crossings obtained using this construction. Additionally, we describe an infinite family of quasi-alternating links featuring a non-twisted quasi-alternating crossing that satisfies these sufficient conditions.
{"title":"Extending quasi-alternating links III","authors":"Kirandeep Kaur , Nafaa Chbili","doi":"10.1016/j.topol.2026.109736","DOIUrl":"10.1016/j.topol.2026.109736","url":null,"abstract":"<div><div>Champanerkar and Kofman <span><span>[1]</span></span> introduced a method for constructing quasi-alternating links by replacing a quasi-alternating crossing in a link diagram with a rational tangle of the same type. This approach, however, does not generally extend to alternating tangles of the opposite type or to non-alternating tangles.</div><div>In this paper, we identify sufficient conditions under which the construction remains valid when the crossing is replaced by an alternating rational tangle of opposite type. We also prove that this method applies to certain non-alternating pretzel tangles. As an application, we provide a table of non-alternating quasi-alternating knots with 13 crossings obtained using this construction. Additionally, we describe an infinite family of quasi-alternating links featuring a non-twisted quasi-alternating crossing that satisfies these sufficient conditions.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"380 ","pages":"Article 109736"},"PeriodicalIF":0.5,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-15DOI: 10.1016/j.topol.2026.109734
Shengyu Li
We study the branched circle patterns with obtuse exterior intersection angles on surfaces of finite topological type. Using variational principle, we investigate the existence and uniqueness of branched circle patterns in both hyperbolic and Euclidean background geometry. Furthermore, we introduce the combinatorial Ricci flow to search for branched circle patterns on surfaces of finite topological type in hyperbolic and Euclidean background geometry. We prove the long time existence and convergence of the flow. As a result, we provide an algorithm to find branched circle patterns with obtuse exterior intersection angles.
{"title":"Branched circle patterns with obtuse exterior intersection angles","authors":"Shengyu Li","doi":"10.1016/j.topol.2026.109734","DOIUrl":"10.1016/j.topol.2026.109734","url":null,"abstract":"<div><div>We study the branched circle patterns with obtuse exterior intersection angles on surfaces of finite topological type. Using variational principle, we investigate the existence and uniqueness of branched circle patterns in both hyperbolic and Euclidean background geometry. Furthermore, we introduce the combinatorial Ricci flow to search for branched circle patterns on surfaces of finite topological type in hyperbolic and Euclidean background geometry. We prove the long time existence and convergence of the flow. As a result, we provide an algorithm to find branched circle patterns with obtuse exterior intersection angles.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"380 ","pages":"Article 109734"},"PeriodicalIF":0.5,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-15DOI: 10.1016/j.topol.2026.109733
Tyrone Cutler , Stephen Theriault
Let be the gauge group of the principal -bundle over with second Chern class k and let p be a prime. We give a partial homotopy-theoretic classification of these gauge groups which is incomplete only up to the existence of certain rather delicate 2-primary information. We are able to isolate the relevant obstruction and show that it vanishes after looping, proving that there is a rational or p-local homotopy equivalence if and only if .
{"title":"The homotopy types of SU(4)-gauge groups","authors":"Tyrone Cutler , Stephen Theriault","doi":"10.1016/j.topol.2026.109733","DOIUrl":"10.1016/j.topol.2026.109733","url":null,"abstract":"<div><div>Let <span><math><msub><mrow><mi>G</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span> be the gauge group of the principal <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mn>4</mn><mo>)</mo></math></span>-bundle over <span><math><msup><mrow><mi>S</mi></mrow><mrow><mn>4</mn></mrow></msup></math></span> with second Chern class <em>k</em> and let <em>p</em> be a prime. We give a partial homotopy-theoretic classification of these gauge groups which is incomplete only up to the existence of certain rather delicate 2-primary information. We are able to isolate the relevant obstruction and show that it vanishes after looping, proving that there is a rational or <em>p</em>-local homotopy equivalence <span><math><mi>Ω</mi><msub><mrow><mi>G</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>≃</mo><mi>Ω</mi><msub><mrow><mi>G</mi></mrow><mrow><msup><mrow><mi>k</mi></mrow><mrow><mo>′</mo></mrow></msup></mrow></msub></math></span> if and only if <span><math><mo>(</mo><mn>60</mn><mo>,</mo><mi>k</mi><mo>)</mo><mo>=</mo><mo>(</mo><mn>60</mn><mo>,</mo><msup><mrow><mi>k</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>)</mo></math></span>.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"380 ","pages":"Article 109733"},"PeriodicalIF":0.5,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-14DOI: 10.1016/j.topol.2026.109732
Bryce Decker , Nathan Dalaklis
We assign every metric space X the value , an ordinal number or one of the symbols −1 or Ω, and we call it the D-variant of transfinite Hausdorff dimension of X. This ordinal assignment is primarily constructed by way of the D-dimension, a transfinite dimension function consistent with the large inductive dimension on finite dimensional metric spaces while also addressing shortcomings of the large transfinite inductive dimension. Similar to Hausdorff dimension, is monotone with respect to subspaces, and is a bi-Lipschitz invariant. It is also non-increasing with respect to Lipschitz maps and satisfies a coarse intermediate dimension property. We also show that this new transfinite Hausdorff dimension function addresses the primary goal of transfinite Hausdorff dimension functions; to classify metric spaces with infinite Hausdorff dimension. In particular, we show that if , then . for any separable metric space, and that one can find a metrizable space with bounded between a given ordinal and its successive cardinal with topological dimension 0.
{"title":"The D-variant of transfinite Hausdorff dimension","authors":"Bryce Decker , Nathan Dalaklis","doi":"10.1016/j.topol.2026.109732","DOIUrl":"10.1016/j.topol.2026.109732","url":null,"abstract":"<div><div>We assign every metric space <em>X</em> the value <span><math><mrow><msub><mrow><mi>t</mi></mrow><mrow><mi>D</mi></mrow></msub><mi>HD</mi></mrow><mo>(</mo><mi>X</mi><mo>)</mo></math></span>, an ordinal number or one of the symbols −1 or Ω, and we call it the <em>D</em>-variant of transfinite Hausdorff dimension of <em>X</em>. This ordinal assignment is primarily constructed by way of the <em>D</em>-dimension, a transfinite dimension function consistent with the large inductive dimension on finite dimensional metric spaces while also addressing shortcomings of the large transfinite inductive dimension. Similar to Hausdorff dimension, <span><math><mrow><msub><mrow><mi>t</mi></mrow><mrow><mi>D</mi></mrow></msub><mi>HD</mi></mrow><mo>(</mo><mo>⋅</mo><mo>)</mo></math></span> is monotone with respect to subspaces, and is a bi-Lipschitz invariant. It is also non-increasing with respect to Lipschitz maps and satisfies a coarse intermediate dimension property. We also show that this new transfinite Hausdorff dimension function addresses the primary goal of transfinite Hausdorff dimension functions; to classify metric spaces with infinite Hausdorff dimension. In particular, we show that if <span><math><mrow><msub><mrow><mi>t</mi></mrow><mrow><mi>D</mi></mrow></msub><mi>HD</mi></mrow><mo>≥</mo><msub><mrow><mi>ω</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, then <span><math><mi>HD</mi><mo>(</mo><mi>X</mi><mo>)</mo><mo>=</mo><mo>∞</mo></math></span>. <span><math><mrow><msub><mrow><mi>t</mi></mrow><mrow><mi>D</mi></mrow></msub><mi>HD</mi></mrow><mo>(</mo><mi>X</mi><mo>)</mo><mo><</mo><msub><mrow><mi>ω</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> for any separable metric space, and that one can find a metrizable space with <span><math><mrow><msub><mrow><mi>t</mi></mrow><mrow><mi>D</mi></mrow></msub><mi>HD</mi></mrow><mo>(</mo><mi>X</mi><mo>)</mo></math></span> bounded between a given ordinal and its successive cardinal with topological dimension 0.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"380 ","pages":"Article 109732"},"PeriodicalIF":0.5,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-14DOI: 10.1016/j.topol.2026.109711
Sina Greenwood , Michael Lockyer
In this paper we investigate conditions for an inverse limit of set-valued functions on intervals to be a graph, and in particular an arc or a circle. We analyse how ramification points are formed and give a characterisation of the order of a point in an inverse limit of set-valued functions that is a finite graph, and we strengthen a result by Nall and Vidal-Escobar who showed that if an inverse limit of set-valued functions on intervals is a finite graph, then it is homeomorphic to the Mahavier product of the first n functions of the sequence for some . Recently the notion of a splitting sequence was introduced to provide a characterisation of inverse limits on intervals that are arcs. We survey necessary conditions for a set-valued inverse limit to be an arc or circle which includes a generalisation of this notion.
{"title":"Arcs, circles, finite graphs and inverse limits of set-valued functions on intervals","authors":"Sina Greenwood , Michael Lockyer","doi":"10.1016/j.topol.2026.109711","DOIUrl":"10.1016/j.topol.2026.109711","url":null,"abstract":"<div><div>In this paper we investigate conditions for an inverse limit of set-valued functions on intervals to be a graph, and in particular an arc or a circle. We analyse how ramification points are formed and give a characterisation of the order of a point in an inverse limit of set-valued functions that is a finite graph, and we strengthen a result by Nall and Vidal-Escobar who showed that if an inverse limit of set-valued functions on intervals is a finite graph, then it is homeomorphic to the Mahavier product of the first <em>n</em> functions of the sequence for some <span><math><mi>n</mi><mo>∈</mo><mi>N</mi></math></span>. Recently the notion of a splitting sequence was introduced to provide a characterisation of inverse limits on intervals that are arcs. We survey necessary conditions for a set-valued inverse limit to be an arc or circle which includes a generalisation of this notion.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"380 ","pages":"Article 109711"},"PeriodicalIF":0.5,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-14DOI: 10.1016/j.topol.2026.109730
Yazmin Cote, Carlos Uzcátegui-Aylwin
This article explores the connections between graph-theoretical and topological approaches in the study of the Jordan curve theorem for grids. Building on the foundational work of Rosenfeld, who developed adjacency-based concepts on , and the subsequent introduction of the topological digital plane with the Khalimsky topology by Khalimsky, Kopperman, and Meyer, we investigate the interplay between these perspectives. Inspired by the work of Khalimsky, Kopperman, and Meyer, we define an operator transforming subsets of into subsets of . This operator is essential for demonstrating how 8-paths, 4-connectivity, and other discrete structures in correspond to topological properties in . Moreover, we address whether the topological Jordan curve theorem for can be derived from the graph-theoretical version on . Our results illustrate the deep and intricate relationship between these two methodologies, shedding light on their complementary roles in digital topology.
{"title":"Bridging graph-theoretical and topological approaches: Connectivity and Jordan curves in the digital plane","authors":"Yazmin Cote, Carlos Uzcátegui-Aylwin","doi":"10.1016/j.topol.2026.109730","DOIUrl":"10.1016/j.topol.2026.109730","url":null,"abstract":"<div><div>This article explores the connections between graph-theoretical and topological approaches in the study of the Jordan curve theorem for grids. Building on the foundational work of Rosenfeld, who developed adjacency-based concepts on <span><math><msup><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>, and the subsequent introduction of the topological digital plane <span><math><msup><mrow><mi>K</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> with the Khalimsky topology by Khalimsky, Kopperman, and Meyer, we investigate the interplay between these perspectives. Inspired by the work of Khalimsky, Kopperman, and Meyer, we define an operator <span><math><msup><mrow><mi>Γ</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span> transforming subsets of <span><math><msup><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> into subsets of <span><math><msup><mrow><mi>K</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>. This operator is essential for demonstrating how 8-paths, 4-connectivity, and other discrete structures in <span><math><msup><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> correspond to topological properties in <span><math><msup><mrow><mi>K</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>. Moreover, we address whether the topological Jordan curve theorem for <span><math><msup><mrow><mi>K</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> can be derived from the graph-theoretical version on <span><math><msup><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>. Our results illustrate the deep and intricate relationship between these two methodologies, shedding light on their complementary roles in digital topology.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"380 ","pages":"Article 109730"},"PeriodicalIF":0.5,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-13DOI: 10.1016/j.topol.2026.109731
Hugo Juárez-Anguiano , Raúl Juárez-Flores
In this paper, we prove the following result: Let H be a closed subgroup of a compact metrizable group G. Then is G-movable if and only if H is a large subgroup of G. It provides a new characterization of large subgroups and generalizes a result of Gevorgyan [12] about compact Lie groups.
{"title":"G-movability and large subgroups","authors":"Hugo Juárez-Anguiano , Raúl Juárez-Flores","doi":"10.1016/j.topol.2026.109731","DOIUrl":"10.1016/j.topol.2026.109731","url":null,"abstract":"<div><div>In this paper, we prove the following result: Let <em>H</em> be a closed subgroup of a compact metrizable group <em>G</em>. Then <span><math><mi>G</mi><mo>/</mo><mi>H</mi></math></span> is <em>G</em>-movable if and only if <em>H</em> is a large subgroup of <em>G</em>. It provides a new characterization of large subgroups and generalizes a result of Gevorgyan <span><span>[12]</span></span> about compact Lie groups.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"380 ","pages":"Article 109731"},"PeriodicalIF":0.5,"publicationDate":"2026-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
扫码关注我们
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号