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

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84070

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
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

Submitter: 数学紀要登録作業用

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