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math.CT2026
Weak and Strong Fibrations of Functors
Isaac Carcacía-Campos, Enrique Macías-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…
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…