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A Computational (Co)homological Approach to Contiguity Distance
Enrique Macías-Virgós, Ángel 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 Macías-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…
Baues-Wirsching Cohomology and Svarc Genus in Small Categories
Isaac Carcacía-Campos, Enrique Macías-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…