2 papers
math.AT2025
2-Categorical Foundations for Multiparameter Persistence
Mauricio Angel
This paper introduces a novel approach to multi-parameter persistence using 2-categorical structures. We develop a framework that captures hierarchical interactions between filter…
math.DG2025
Extensions and Applications of Bredon's Trick in Geometric and Topological Contexts
Mauricio Angel
We present a comprehensive analysis of Bredon's trick, a powerful local-to-global extension principle with broad applications across differential geometry and computational topolog…