Published June 30, 2022 | Version v1
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Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem

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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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URL
https://idus.us.es/handle//11441/134844
URN
urn:oai:idus.us.es:11441/134844

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