流形演算中齐次函子的分类
代数拓扑
2024-12-31 v4
摘要
对于单纯模型范畴 M 中的任意对象 A,我们构造了一个拓扑空间 \^A,它分类了其在 k 个开球上的取值等价于 A 的齐次函子。这推广了 Weiss 关于取值于拓扑空间的齐次函子的分类结果。
引用
@article{arxiv.1807.06120,
title = {Classification of homogeneous functors in manifold calculus},
author = {Paul Arnaud Songhafouo Tsopmene and Donald Stanley},
journal= {arXiv preprint arXiv:1807.06120},
year = {2024}
}
备注
35 pages, 1 figure. We improved the exposition in the whole paper. We modified the construction of the classifying space \^A and changed several proofs accordingly