English

There is no topological Fulton-MacPherson compactification

Geometric Topology 2021-01-20 v2 Algebraic Topology

Abstract

In this note we prove that the Fulton-MacPherson compactification of configuration spaces of smooth manifolds can not be extended to topological manifolds in a natural manner, using recent work of Chen and Mann.

Cite

@article{arxiv.2011.14855,
  title  = {There is no topological Fulton-MacPherson compactification},
  author = {Alexander Kupers},
  journal= {arXiv preprint arXiv:2011.14855},
  year   = {2021}
}

Comments

2 pages, minor corrections

R2 v1 2026-06-23T20:36:08.238Z