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On homotopy classification of phrases and its application

Fukunaga T.

Demonstratio Mathematica

2010

Vol. 43, nr 2

419-432

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.