亲范畴上的简单模型结构

IF 0.6 3区 数学 Q3 MATHEMATICS Algebraic and Geometric Topology Pub Date : 2023-11-05 DOI:10.2140/agt.2023.23.3849
Thomas Blom, Ieke Moerdijk
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引用次数: 6

摘要

我们描述了一种在前类和前类上构造简单模型结构的方法。我们的方法对于构造已知模型类别的类似物特别有用。我们的构造很快恢复了Morel的pro-p空间模型结构和Quick的无限空间模型结构,但我们将证明它也可以应用于构造许多有趣的新模型结构。此外,我们还研究了该方法的一些一般性质,如它的泛函行为及其与Bousfield局部化的关系。在附录中,我们将我们的结构与无限范畴方法的前范畴和前范畴进行比较。
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Simplicial model structures on pro-categories
We describe a method for constructing simplicial model structures on ind- and pro-categories. Our method is particularly useful for constructing analogues of known model categories. Our construction quickly recovers Morel's model structure for pro-p spaces and Quick's model structure for profinite spaces, but we will show that it can also be applied to construct many interesting new model structures. In addition, we study some general properties of our method, such as its functorial behaviour and its relation to Bousfield localization. We compare our construction to the infinity-categorical approach to ind- and pro-categories in an appendix.
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来源期刊
CiteScore
1.10
自引率
14.30%
发文量
62
审稿时长
6-12 weeks
期刊介绍: Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.
期刊最新文献
Partial Torelli groups and homological stability Connective models for topological modular forms of level n The upsilon invariant at 1 of 3–braid knots Cusps and commensurability classes of hyperbolic 4–manifolds On symplectic fillings of small Seifert 3–manifolds
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