同调理论中的立方公理和决议

IF 0.8 2区数学 Q2 MATHEMATICS

Israel Journal of Mathematics Pub Date : 2023-11-29 DOI:10.1007/s11856-023-2582-9

Manfred Stelzer

引用次数: 0

摘要

我们证明，立方公理的一个版本在具有解析模型结构的共简不稳定煤层和共简空间中成立。作为应用，不稳定同调理论中的经典定理被扩展到这一背景中。

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 cube axiom and resolutions in homotopy theory

We show that a version of the cube axiom holds in cosimplicial unstable coalgebras and cosimplicial spaces equipped with a resolution model structure. As an application, classical theorems in unstable homotopy theory are extended to this context.

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来源期刊

Israel Journal of Mathematics 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.