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

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2021-12-30 DOI:10.1142/s1793525321500709

D. Fernández-Ternero, E. Macías-Virgós, D. Mosquera-Lois, J. A. Vilches

引用次数: 0

Abstract

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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关于偏集的Morse-Bott理论和一个同调Lusternik-Schnirelmann定理

我们发展了关于偏集的Morse - bott理论，推广了正则复合体的离散Morse - bott理论和偏集上的Morse理论。此外，我们还证明了偏集上一般匹配的Lusternik-Schnirelmann定理，特别是对于Morse-Bott函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.