Descriptive Cellular Homology
Geometric Topology
2018-01-09 v1
Abstract
This article introduces descriptive cellular homology on cell complexes, which is an extension of J.H.C. Whitehead's CW topology. A main result is that a descriptive cellular complex is a topology on fibres in a fibre bundle. An application of two forms of cellular homology is given in terms of the persistence of shapes in CW spaces.
Cite
@article{arxiv.1801.01911,
title = {Descriptive Cellular Homology},
author = {M. Z. Ahmad and J. F. Peters},
journal= {arXiv preprint arXiv:1801.01911},
year = {2018}
}
Comments
6 pages, 4 figures