A categorical perspective on extended metric-topological spaces

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Enrico Pasqualetto, Timo Schultz, Janne Taipalus
DOI: 10.48550/arxiv.2601.07505
Cited by: 0

Abstract

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 distinguished subcategories (such as the one of compact spaces). One of the main achievements is the proof of the bicompleteness (i.e. of the existence of all small limits and colimits) of the aforementioned categories.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Banach Space Theory Fixed Point Theorems Analysis

Publication details

Journal / source
arXiv (Cornell University)
Publication date
12 January 2026
Document type
Preprint