Laver’s results and low-dimensional topology

Archive for Mathematical Logic 55 (1-2):49-83 (2016)
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Abstract

In connection with his interest in selfdistributive algebra, Richard Laver established two deep results with potential applications in low-dimen\-sional topology, namely the existence of what is now known as the Laver tables and the well-foundedness of the standard ordering of positive braids. Here we present these results and discuss the way they could be used in topological applications.

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Patrick Dehornoy
Université de Caen

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References found in this work

The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.
Strong axioms of infinity and elementary embeddings.Robert M. Solovay - 1978 - Annals of Mathematical Logic 13 (1):73.
[Omnibus Review].Akihiro Kanamori - 1981 - Journal of Symbolic Logic 46 (4):864-866.
"[Product]"¹1-complete families of elementary sequences.Patrick Dehornoy - 1988 - Annals of Pure and Applied Logic 38 (3):257.

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