A general equivalence relation on the global class of morphisms of a category
Abstract
We introduce a general equivalence relation on the global class of morphisms of a category that subsumes several classical notions of equivalence in mathematics. We show that group-action equivalence relations, pullback equivalence relations, and coarse analysis-operator-based equivalence relations on continuous Bessel families are special cases of this general definition.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Mathematical Analysis and Transform Methods
Advanced Topology and Set Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 12 February 2026
- Language
- EN
- Document type
- Preprint