rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Braids and self-distributivity
  name:
    name part: Dehornoy, Patrick.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2000
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (xix, 623 pages) : illustrations
  abstract: "The aim of this book is to present recently discovered connections between Artin's braid groups and left self-distributive systems, which are sets equipped with a binary operation satisfying the x(yz) = (xy)(xz). Order properties are crucial." "The text proposes a first synthesis of this area of research. Three domains are considered here, namely braids, self-distributive systems, and set theory. Although not a comprehensive course on these subjects, the exposition is self-contained, and a number of basic results are established. In particular, the first chapters include a rather complete algebraic study of Artin's braid groups."--BOOK JACKET.
  table of contents: Pt. A. Ordering the Braids. I. Braids vs. Self-Distributive Systems. II. Word Reversing. III. The Braid Order. IV. The Order on Positive Braids -- Pt. B. Free LD-systems. V. Orders on Free LD-systems. VI. Normal Forms. VII. The Geometry Monoid. VIII. The Group of Left Self-Distributivity. IX. Progressive Expansions -- Pt. C. Other LD-Systems. X. More LD-Systems. XI. LD-Monoids. XII. Elementary Embeddings. XIII. More about the Laver Tables.
  note: Patrick Dehornoy.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references and index.
  subject:
    topic: Braid theory
  subject:
    topic: Set theory
  subject:
    topic: Tresses, Théorie des
  subject:
    topic: Ensembles, Théorie des
  subject:
    topic: Zopfgruppe
  subject:
    topic: Gruppoid
  subject:
    topic: Wortproblem
  subject:
    topic: Tresses, Théorie des
  subject:
    topic: Ensembles, Théorie des
  subject:
    topic: Braid theory
  subject:
    topic: Set theory
  classification: QA612.23 .D44 2000
  classification: 514/.224
  classification: SK 260
  related item:
    identifier: (DLC) 00044488
    identifier: (OCoLC)44461864
  related item:
    title info:
      title: Progress in mathematics (Boston, Mass.) ; v. 192
  identifier: 3764363436 (alk. paper)
  identifier: 9783764363437 (alk. paper)
  identifier: 0817663436 (alk. paper)
  identifier: 9780817663438 (alk. paper)
  identifier: 9783034884426 (electronic bk.)
  identifier: 3034884427 (electronic bk.)
  identifier: 9783034895682
  identifier: 3034895682
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 140314
    record change date: 20260423140955.2
    record identifier: in00003546701
    language of cataloging:
      language term: eng