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1 IRMA - Institut de Recherche Mathématique Avancée

Abstract : At the beginning of the 1990-s Dehornoy, investigating selfdistributive systems, constructed a linear order on Artin-s braid groups. Selfdistributive systems are sets equipped with a binary law satisfying the identity xyz = xyxz. Such systems came up in the study of a large cardinal axiom in set theory. In this text we present Dehornoy-s work and its unexpected link with set theory. We also survey two recent geometric constructions of Dehornoy-s order.

Keywords : braid group ordered group set theory





Autor: Christian Kassel -

Fuente: https://hal.archives-ouvertes.fr/



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