On homotopy classification of phrases and its application

• Autorzy: Fukunaga T.
• Języki publikacji: EN

Abstrakty

EN

This paper is a survey on the recent study of homotopy theory of generalized phrases in Turaev's theory of words and phrases. In this paper, we introduce the homotopy classification of generalized phrases with some conditions on numbers of letters. The theory of topology of words and phrases are closely related to the theory of surface-curves. We also introduce applications of topology of words to the topology of surface-curves.

Słowa kluczowe

EN

nanophrases; homotopy; multi-component curves; stably equivalent

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 2
• Strony: 419--432
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Fukunaga T.

• Department of Mathematics Hokkaido University Sapporo 060-0810, Japan,

Bibliografia

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• [4] T. Fukunaga, Homotopy classification of generalized phrases in Turaev’s theory of words, arXiv:0904.4204.
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• [15] V. Turaev, Topology of words, Proc. London Math. Soc. 95 (2007), 360–417.
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