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Hokkaido University Preprint Series in Mathematics >
HOMOTOPY CLASSIFICATION OF NANOPHRASES IN TURAEV’S THEORY OF WORDS
| Title: | HOMOTOPY CLASSIFICATION OF NANOPHRASES IN TURAEV’S THEORY OF WORDS |
| Authors: | Fukunaga, Tomonori Browse this author |
| Keywords: | Words | | Phrases | | Curves | | Homotopy |
| Issue Date: | 2008 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 897 |
| Start Page: | 1 |
| End Page: | 13 |
| Abstract: | The purpose of this paper is to give the homotopy classification of nanophrases of ength 2 with 4 letters. To do it we construct some new invariants of nanophrases γ, T. he invariant γ defined in this paper is an extension of the invariant γ for nanowords ntroduced in [5]. The invariant T is a new invariant of nanophrases. As a corollary of hese results, we give the classification of two-components pointed, ordered, oriented urves on surfaces with minimum crossing number ≤ 2. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69706 |
| 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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