Morse-Bott theory on posets and a homological Lusternik-Schnirelmann theorem

被引：0
|
作者：
Fernandez-Ternero, D. [1 ]
Macias-Virgos, E. [2 ]
Mosquera-Lois, D. [2 ]
Vilches, J. A. [1 ]
机构：
[1] Univ Seville, Dept Geometria & Topol, Seville, Spain
[2] Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela, Spain
来源：
JOURNAL OF TOPOLOGY AND ANALYSIS | 2024年 / 16卷 / 03期
关键词：
Morse-Bott functions; posets; Lusternik-Schnirelmann theorem; CATEGORY;
D O I：
10.1142/S1793525321500709
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop Morse-Bott theory on posets, generalizing both discrete Morse-Bott theory for regular complexes and Morse theory on posets. Moreover, we prove a Lusternik-Schnirelmann theorem for general matchings on posets, in particular, for Morse-Bott functions.
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页码：323 / 346
页数：24
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