2 papers
math.AT2026
A stable framework for proper and exterior homotopy and cohomology theories
Antonio Ceres, José M. García-Calcines, Aniceto Murillo
We develop a stable framework for exterior homotopy theory and apply it to proper homotopy theory. Starting from a known simplicial model structure on the category of exterior spac…
math.CT2025
Hom-counting functions, combinatorial categories and related problems
Antonio Ceres, Cristina Costoya, Antonio Viruel
Combinatorial categories satisfy a stronger form of Yoneda Lemma, namely, the isomorphism type of an object can be recovered by counting the number of homomorphisms from all other…