most citedMorse-Bott Theory on posets and an homological Lusternik-Schnirelmann Theorem

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math.AT2020★ 1 cited

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

D. Fernández-Ternero, E. Macías-Virgós, D. Mosquera-Lois +1

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 t…

math.AT2019

Simplicial fibrations

D. Fernández-Ternero, J. M. García Calcines, E. Macías-Virgós +1

We undertake a systematic study of the notion of fibration in the setting of abstract simplicial complexes, where the concept of `homotopy' has been replaced by that of `contiguity…