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Hokkaido University Preprint Series in Mathematics >
HOMOTOPY CLASSIFICATION OF GENERALIZED PHRASES IN TURAEV'S THEORY OF WORDS
| Title: | HOMOTOPY CLASSIFICATION OF GENERALIZED PHRASES IN TURAEV'S THEORY OF WORDS |
| Authors: | Fukunaga, Tomonori Browse this author |
| Keywords: | words | | phrases | | homotopy of words and phrases |
| Issue Date: | 1-May-2009 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 940 |
| Start Page: | 1 |
| End Page: | 12 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69748 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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