1 citations · 1 across the 2 of their papers we have counts for
3 papers
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…
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study of the notion of fibration in the setting of abstract simplicial complexes, where the concept of `homotopy' has been replaced by that of `contiguity…
Lusternik-Schnirelmann category of simplicial complexes and finite spaces
D. Fernández-Ternero, E. Macías-Virgós, J. A. Vilches
In this paper we establish a natural definition of Lusternik-Schnirelmann category for simplicial complexes via the well known notion of contiguity. This category has the property…