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The braid shelf

Patrick Dehornoy

Laboratoire de Mathématiques Nicolas Oresme UMR 6139, Université de Caen, 14032 Caen, France

E-mail Address: patrick.dehornoy@unicaen.fr

https://doi.org/10.1142/S0218216518430058Cited by:1 (Source: Crossref)

This article is part of the issue:

Special Issue — Self-Distributive System and Quandle (Co)Homology Theory in Algebra and Low-Dimensional Topology; Guest Editors: Y. Bae, S. Kamada, A. Kawauchi and S. Y. Lee

Abstract

The braids of $B_{\infty}$ can be equipped with a self-distributive operation ⊳ enjoying a number of deep properties. This text is a survey of known properties and open questions involving this structure, its quotients, and its extensions.

Keywords:

AMSC: 20F36, 20N02, 57M25, 57M60

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