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Unprovability results involving braids

Abstract

We construct long sequences of braids that are descending with respect to the standard order of braids ('Dehornoy order'), and we deduce that, contrary to all usual algebraic properties of braids, certain simple combinatorial statements involving the braid order are not provable in the subsystems σ1or σ2of the standard Peano system (although they are provable in stronger systems of arithmetic). © 2010 London Mathematical Society

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Archivio della ricerca- Università di Roma La Sapienza

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Last time updated on 12/11/2016

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