简单 R 模块上的胡勒维茨模型结构

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2024-10-26 DOI:10.1007/s40062-024-00359-0

Arnaud Ngopnang Ngompé

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引用次数: 0

摘要

根据克里斯滕森和霍维的定理，非负级链复数范畴有一个模型结构，称为 h 模型结构或胡勒维茨模型结构，其中弱等价是链同调等价。多尔-坎对应关系在单纯模范畴上诱导出一种模型结构。在本文中，我们将描述这两个模型范畴及其某些性质，特别是它们都是单式的这一事实。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Hurewicz model structure on simplicial R-modules

By a theorem of Christensen and Hovey, the category of non-negatively graded chain complexes has a model structure, called the h-model structure or Hurewicz model structure, where the weak equivalences are the chain homotopy equivalences. The Dold–Kan correspondence induces a model structure on the category of simplicial modules. In this paper, we give a description of the two model categories and some of their properties, notably the fact that both are monoidal.

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.