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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.AT2018
Euler calculus on spaces homeomorphic to definable sets and some applications
E. Macías-Virgós, D. Mosquera-Lois
We show that integration with respect to the Euler-Poincaré characteristic can be extended from the setting of definable sets to the setting of topological spaces homeomorphic to d…