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arXiv · 2602.12363

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

Nizar El Idrissi
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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.

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Nizar El Idrissi. 2026-02-12. A general equivalence relation on the global class of morphisms of a category. https://arxiv.org/abs/2602.12363

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