Classification of homogeneous functors in manifold calculus

Paul Arnaud Songhafouo Tsopmene; Donald Stanley

Classification of homogeneous functors in manifold calculus

Algebraic Topology 2024-12-31 v4

Authors: Paul Arnaud Songhafouo Tsopmene , Donald Stanley

Abstract

For any object A in a simplicial model category M, we construct a topological space \^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.

Keywords

homogeneous functors manifold calculus simplicial model category classification topological spaces

Cite

@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}
}

Comments

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

Classification of homogeneous functors in manifold calculus

Abstract

Keywords

Cite

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