广义拓扑空间上的新开集

IF 1.1 Q1 MATHEMATICS JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1531
S. G. Gasim, Muna L. Abd Ul Ridha
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引用次数: 0

摘要

我们都知道大量的研究提出了拓扑空间中开集的几种推广。另一方面,自2002年A. Csaszar引入广义拓扑的定义以来,在广义拓扑空间中出现了开集的其他推广。我们的研究为开集提供了一种新的推广,其中的定义将是普通拓扑和广义拓扑的混合。我们的新开集被命名为xw开集。我们给出了与这个新概念相关的几个特征、性质和例子。
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New open set on topological space with generalized topology
We all know the vast number of studies that presented several generalizations of open sets in topological spaces. On the other hand, since 2002 when A. Csaszar introduced the definition of generalized topology, other generalizations of open sets have appeared in generalized topological spaces. Our study provides a new generalization for an open set, where the definition will be a mixture of ordinary topology and generalized topology. Our new open set is named Xw-open set. We give several characterizations, properties, and examples related to the new concept.
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来源期刊
CiteScore
2.70
自引率
23.50%
发文量
141
期刊介绍: The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.
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