Lectures on topology of words

DOI10.1007/S11537-007-0634-2zbMATH Open1162.68034arXivmath/0609516OpenAlexW2144064488MaRDI QIDQ1000324

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Publication date: 6 February 2009

Published in: (Search for Journal in Brave)

Abstract: We discuss a topological approach to words introduced by the author. Words on an arbitrary alphabet are approximated by Gauss words and then studied up to natural modifications inspired by the Reidemeister moves on knot diagrams. This leads us to a notion of homotopy for words. We introduce several homotopy invariants of words and give a homotopy classification of words of length five.

Full work available at URL: https://arxiv.org/abs/math/0609516

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