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math.AT2016
Strong discrete Morse theory and simplicial L-S category: A discrete version of the Lusternik-Schnirelmann Theorem
Desamparados Fernández-Ternero, Enrique Macías-Virgós, Nicholas A. Scoville +1
We prove a discrete version of the Lusternik-Schnirelmann theorem for discrete Morse functions and the recently introduced simplicial Lusternik-Schnirelmann category of a simplicia…
math.AT2016
Cayley Transform on Stiefel manifolds
Enrique Macías-Virgós, María José Pereira-Sáez, Daniel Tanré
We define a Cayley transform on Stiefel manifolds. Applications to the Lusternik-Schnirelmann category and optimisation problems are presented.
math.AT2016
Simplicial Lusternik-Schnirelmann category
Desamparados Fernández-Ternero, Enrique Macías-Virgós, Erika Minuz +1
The simplicial LS-category of a finite abstract simplicial complex is a new invariant of the strong homotopy type, defined in purely combinatorial terms, that generalizes to arbitr…