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Tag: Equivalence relation

  • Descriptive set theory applied to loop homotopy and equivalence relations

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    What the study found The study finds that, from a descriptive set-theoretic viewpoint, the homotopy of loops in a fixed path-connected Polish space can produce many analytic equivalence relations, but not all of them. Why the authors say this matters The authors suggest this helps clarify which equivalence relations can be represented through loop homotopy…