6 papers
Weak and Strong Fibrations of Functors
Isaac CarcacÃa-Campos, Enrique MacÃas-Virgós, David Mosquera-Lois
We develop a homotopical framework for small categories that extends classical invarints of algebraic topology to the categorical setting. Our approach is based on the construction…
Baues-Wirsching Cohomology and Svarc Genus in Small Categories
Isaac CarcacÃa-Campos, Enrique MacÃas-Virgós, David Mosquera-Lois
We prove that for a bifibration P between small categories, the lenght of the cup product in the kernel of the induced morphism in the Baues-Wirsching cohomology with coefficients…
Morse-Bott inequalities for endomorphisms
Enrique MacÃas-Virgós, Alejandro O. Majadas-Moure, David Mosquera-Lois +1
Let be a finite simplicial complex, let be a simplicial map and let be a discrete Morse-Bott function on satisfying for all simpli…
A Computational (Co)homological Approach to Contiguity Distance
Enrique MacÃas-Virgós, Ãngel Méndez-Vázquez, David Mosquera-Lois
We introduce two new algebraic invariants, the (co)homological distances between continuous maps, which provide computable lower bounds for the homotopic distance and strictly refi…
Subspace {L}usternik-{S}chnirelmann category of quasi-projective quaternionic spaces
Enrique MacÃas-Virgós, Daniel Tanré
Let be the quasi-projective subspace of the symplectic group . In this short note, we prove that the subspace Lusternik-Schnirelmann category of in $\ma…
Relative De Rham cohomology in diffeological spaces
Enrique MacÃas-Virgós, Reihaneh Mehrabi
We define two different versions of the relative De Rham cohomology groups of a diffeological space. Additionally, we study a variant of the Mayer-Vietoris sequence and discuss the…