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HOMOTOPY CLASSIFICATION OF NANOPHRASES WITH LESS THAN OR EQUAL TO FOUR LETTERS
Title: | HOMOTOPY CLASSIFICATION OF NANOPHRASES WITH LESS THAN OR EQUAL TO FOUR LETTERS |
Authors: | Fukunaga, Tomonori Browse this author |
Keywords: | Nanophrases | Homotopy | Multi-component curves | Stably equivalent |
Issue Date: | 2008 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 921 |
Start Page: | 1 |
End Page: | 11 |
Abstract: | 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. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69728 |
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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