2 papers
math.CT2026
A categorical perspective on extended metric-topological spaces
Enrico Pasqualetto, Timo Schultz, Janne Taipalus
Motivated by the analysis and geometry of metric-measure structures in infinite dimensions, we study the category of extended metric-topological spaces, along with many of its dist…
math.FA2025
Derivations and Sobolev functions on extended metric-measure spaces
Enrico Pasqualetto, Janne Taipalus
We investigate the first-order differential calculus over extended metric-topological measure spaces. The latter are quartets , given by an ext…