paper

A general equivalence relation on the global class of morphisms of a category

arXiv:2602.12363

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.

17 pages