Fernández Ternero, DesamparadosMacías Virgós, EnriqueMosquera Lois, DavidVilches Alarcón, José Antonio2022-06-302022-06-302024Fernández Ternero, D., Macías Virgós, E., Mosquera Lois, D. y Vilches Alarcón, J.A. (2024). Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem. Journal of Topology and Analysis, 1-24. https://doi.org/10.1142/S1793525321500709.1793-52531793-7167https://hdl.handle.net/11441/134844We 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.application/pdf24 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Morse–Bott functionsPosetsLusternik–Schnirelmann theoreminfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1142/S1793525321500709