HOMOTOPY CLASSIFICATION OF NANOPHRASES WITH LESS THAN OR EQUAL TO FOUR LETTERS

Fukunaga, Tomonori

Hokkaido University Preprint Series in Mathematics, 2008, 921, 1-11

Permalink : https://doi.org/10.14943/84070

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DOI	https://doi.org/10.14943/84070
URI	https://hdl.handle.net/2115/69728
タイトル	HOMOTOPY CLASSIFICATION OF NANOPHRASES WITH LESS THAN OR EQUAL TO FOUR LETTERS
著者	著者名 Fukunaga, Tomonori
言語	英語
キーワード	Nanophrases
	Homotopy
	Multi-component curves
	Stably equivalent
発行日	2008
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	921
ページ	1-11
抄録	In this paper we give the classification of stable equivalence classes of ordered, pointed, riented multi-component curves on surfaces with minimum crossing number less than r equal to 2 which any curve in its equivalent class has no simply closed curves in its omponents. To do this, we use the theory of words and phrases which was introduced y V. Turaev. Indeed we give the homotopy classification of nanophrases with less than r equal 4 letters. This is an extension of the classification of nanophrases of length 2 ith less than or equal to 4 letters which was given by the author in the recent paper.
資源タイプ	紀要論文
出版タイプ	Version of Record