English

Strong Shape Invariance of Alexander-Spanier Normal Homology Theory

Algebraic Topology 2024-03-25 v4

Abstract

In the paper [Ba-Be-Mdz], using the Alexander-Spanier cochains based on the normal coverings, the exact homology theory HˉN(,;G)\bar{H}^N_*(-,-;G), the so called Alexander-Spanier homology theory, is defined. In the paper we will use the method of construction of the strong homology theory to show that the homology theory HˉN(,;G)\bar{H}^N_*(-,-;G) is a strong shape invariant.

Keywords

Cite

@article{arxiv.2312.16464,
  title  = {Strong Shape Invariance of Alexander-Spanier Normal Homology Theory},
  author = {Anzor Beridze},
  journal= {arXiv preprint arXiv:2312.16464},
  year   = {2024}
}