Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem
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Published:2021-12-30
Issue:
Volume:
Page:1-24
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ISSN:1793-5253
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Container-title:Journal of Topology and Analysis
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language:en
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Short-container-title:J. Topol. Anal.
Author:
Fernández-Ternero D.1,
Macías-Virgós E.2,
Mosquera-Lois D.2,
Vilches J. A.1
Affiliation:
1. Departamento de Geometría y Topología, Universidad de Sevilla, Spain
2. Instituto de Matemáticas, Universidade de Santiago de Compostela, Spain
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.
Funder
MINECO Spain
Junta de Andalucia Research Groups
MINECO-FEDER
Ministerio de Ciencia, Innovacion y Universidades
Xunta de Galicia
MINECO Spain Research Project
Publisher
World Scientific Pub Co Pte Ltd
Subject
Geometry and Topology,Analysis
Cited by
1 articles.
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