带边流形上的 Morse 理论 I. 强 Morse 函数、胞腔结构及胞腔微分的代数化简
几何拓扑
2022-01-07 v2
摘要
本文的主题是紧致带边流形上的(强) Morse 函数。我们在本文中构造了一种胞腔结构并讨论其代数性质。同时我们得到了关于给定边界条件下 Morse 函数临界点个数的 Arnold 问题的一个估计。
引用
@article{arxiv.1912.06437,
title = {Morse theory on manifolds with boundary I. Strong Morse function, cellular structures and algebraic simplification of cellular differential},
author = {Petr E. Pushkar},
journal= {arXiv preprint arXiv:1912.06437},
year = {2022}
}
备注
A chapter (3 pages) on estimation from below on a number of critical points of an extension of a strong Morse germ is added