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arXiv · 2007.13565

Morse-Bott Theory on posets and an homological Lusternik-Schnirelmann Theorem

D. Fernández-Ternero·E. Macías-Virgós·D. Mosquera-Lois·J. A. Vilches
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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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D. Fernández-Ternero, E. Macías-Virgós, D. Mosquera-Lois, J. A. Vilches. 2020-07-24. Morse-Bott Theory on posets and an homological Lusternik-Schnirelmann Theorem. https://arxiv.org/abs/2007.13565

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