流形微积分中齐次函子的分类

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2025-02-06 DOI:10.1007/s40062-025-00362-z

Paul Arnaud Songhafouo Tsopméné, Donald Stanley

引用次数: 0

摘要

对于简单模型范畴\(\mathcal {M}\)中的任意对象A，我们构造了一个拓扑空间\(\hat{A}\)，该空间对k个开球上的值等于A的齐次函子进行分类，从而将Weiss关于齐次函子的分类结果推广到拓扑空间中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Classification of homogeneous functors in manifold calculus

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Classification of homogeneous functors in manifold calculus

For any object A in a simplicial model category \(\mathcal {M}\), we construct a topological space \(\hat{A}\) which classifies homogeneous functors whose value on k open balls is equivalent to A. This extends a classification result of Weiss for homogeneous functors into topological spaces.

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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.