3 papers
math.AT2026
Deformations, Derived Categories, and Multiparameter Persistence: A Theoretical Framework
Mauricio Angel
Multiparameter persistent homology has emerged as a powerful generalization of topological data analysis, capable of encoding multivariate filtrations. However, the algebraic compl…
math.AT2026
Operational Calculus on Curved Differentials: Optimal N-Complex Bounds and Persistent Homology
Mauricio Angel
We establish a canonical normal form for the iterates of a curved differential in curved differential algebras (CDA). This operator calculus clarifies the underlying algebraic stru…
math.DG2020
On Bredon's trick: from local to global properties
Mauricio Angel
One of the most interesting problems that arise when studying certain structures on topological spaces and in particular on differential manifolds, is to be able to extend the prop…