"Barcodes" for continuous maps and a brief introduction to Alternative Morse Theory
Algebraic Topology
2023-12-14 v3
Abstract
This paper reviews the description of "bar codes" for a continuous real-valued map and explains how to recover the Morse complex of a Morse function from them. In this presentation the bar codes appear as the support of two vector-space valued maps, one defined on the Euclidean plane and the other on the "above diagonal" half plane.
Keywords
Cite
@article{arxiv.2305.19828,
title = {"Barcodes" for continuous maps and a brief introduction to Alternative Morse Theory},
author = {Dan Burghelea},
journal= {arXiv preprint arXiv:2305.19828},
year = {2023}
}
Comments
16 pages