'Barcodes' for continuous maps and a brief introduction to Alternative Morse Theory

Autor:	Burghelea, Dan
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Topology 55N31 55E05
Druh dokumentu:	Working Paper
Popis:	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. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.19828 Zobrazit plný text záznamu View this record from Arxiv