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HOMOTOPY CLASSIFICATION OF NANOPHRASES IN TURAEV’S THEORY OF WORDS

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84047

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
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

Submitter: 数学紀要登録作業用

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