Showing 2025Show all
2 papers · 1 filter
math.AT2025
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…
math.CT2025
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…