HOMOTOPY CLASSIFICATION OF GENERALIZED PHRASES IN TURAEV'S THEORY OF WORDS

Fukunaga, Tomonori

Hokkaido University Preprint Series in Mathematics, 2009, 940, 1-12

Permalink : https://doi.org/10.14943/84088

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DOI	https://doi.org/10.14943/84088
URI	https://hdl.handle.net/2115/69748
タイトル	HOMOTOPY CLASSIFICATION OF GENERALIZED PHRASES IN TURAEV'S THEORY OF WORDS
著者	著者名 Fukunaga, Tomonori
言語	英語
キーワード	words
	phrases
	homotopy of words and phrases
発行日	2009-05-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	940
ページ	1-12
抄録	In 2005 V. Turaev introduced the theory of topology of words and hrases. Turaev defined an equivalence relation on generalized words and phrases hich is called homotopy. This is suggested by the Reidemeister moves in the not theory. Then Turaev gave the homotopy classification of generalized words ith less than or equal to five letters. In this paper we give the classification of eneralized phrases up to homotopy with less than or equal to three letters. To o this we construct a new homotopy invariant for nanophrases over any α.
資源タイプ	紀要論文
出版タイプ	Version of Record