English

On measure homology of mildly wild spaces

Algebraic Topology 2025-06-05 v1 Geometric Topology

Abstract

We prove injectivity of the canonical map from singular homology to measure homology for certain ``mildly wild" spaces, that is, certain spaces not having the homotopy type of a CW-complex, but having countable fundamental groups.

Keywords

Cite

@article{arxiv.2506.03368,
  title  = {On measure homology of mildly wild spaces},
  author = {Thilo Kuessner and Janusz Przewocki and Andreas Zastrow},
  journal= {arXiv preprint arXiv:2506.03368},
  year   = {2025}
}

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70 pages