Morse theory on manifolds with boundary I. Strong Morse function, cellular structures and algebraic simplification of cellular differential

Main subject of the paper is a (strong) Morse function on a compact manifold with boundary. We construct a cellular structure and discuss its algebraic properties in this paper. Also we get an estimation on Arnold's question on a number of critical points of a Morse function with given boundary...

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Bibliographic Details
Main Author Pushkar, Petr E
Format Journal Article
LanguageEnglish
Published 13.12.2019
Subjects
Mathematics - Geometric Topology
Online AccessGet full text
DOI10.48550/arxiv.1912.06437

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Summary:Main subject of the paper is a (strong) Morse function on a compact manifold with boundary. We construct a cellular structure and discuss its algebraic properties in this paper. Also we get an estimation on Arnold's question on a number of critical points of a Morse function with given boundary condition.
DOI:10.48550/arxiv.1912.06437