Adrián Doña Mateo

collaborators

3 papers

math.MG2026

Magnitude homology equivalence of Euclidean sets

AdriÃ¡n DoÃ±a Mateo, Tom Leinster

Magnitude homology is an $R^{+}$ -graded homology theory of metric spaces that captures information on the complexity of geodesics. Here we address the question: when are two…

math.CT2025

Cauchy density

AdriÃ¡n DoÃ±a Mateo

In the paper where he defined the Cauchy completion of a $V$ -category, Lawvere also defined a condition on a $V$ -functor which made it analogous to a map of met…

math.CT2025

Pushforward monads

AdriÃ¡n DoÃ±a Mateo

Given a monad $T$ on $A$ and a functor $G : A \to B$ , one can construct a monad $G_{#} T$ on $B$ subject to the existence of a certain Ka…