English

Discrete homogeneity and ends of manifolds

General Topology 2023-04-17 v3 Geometric Topology

Abstract

It is shown that a connected non-compact metrizable manifold of dimension 2\ge 2 is strongly discrete homogeneous if and only if it has one end (in the sense of Freudenthal compactification).

Keywords

Cite

@article{arxiv.2210.04978,
  title  = {Discrete homogeneity and ends of manifolds},
  author = {Vitalij A. Chatyrko and Alexandre Karassev},
  journal= {arXiv preprint arXiv:2210.04978},
  year   = {2023}
}