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math.CT2026
Comparison categories: the normal form and the regularity of comparison data
Nizar El Idrissi
Many equivalence relations of mathematics (Green's relations on a semigroup, orbit relations of group actions, ``same value of an invariant'') are defined by allowed transformation…
math.CT2026
A general equivalence relation on the global class of morphisms of a category
Nizar El Idrissi
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…