A binary relation on a set is a tolerance relation if it is symmetric and reflexive.
This is a wide weakening of the concept of equality. For example, every equivalence relation is a tolerance relation. Equivalence relations are used to make equivalence classes, quotient sets and quotient groupoids, as well as associated algebras. Some modifications of operator algebras related to quotients may be studied even in generality of tolerance relations.
Alain Connes, Walter D. van Suijlekom, Tolerance relations and operator systems, arXiv:2111.02903
F. D’Andrea, G. Landi, F. Lizzi, Tolerance relations and quantization, Lett Math Phys 112, 65 (2022) doi
Created on October 12, 2022 at 08:31:14. See the history of this page for a list of all contributions to it.