Homotopy classification of nanophrases with at most four letters
Fundamenta Mathematicae, Tome 214 (2011) no. 2, pp. 101-118.

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We give a homotopy classification of nanophrases with at most four letters. It is an extension of the classification of nanophrases of length 2 with at most four letters, given by the author in a previous paper. As a corollary, we give a stable classification of ordered, pointed, oriented multi-component curves on surfaces with minimal crossing number less than or equal to 2 such that any equivalent curve has no simply closed curves in its components.
DOI : 10.4064/fm214-2-1
Keywords: homotopy classification nanophrases letters extension classification nanophrases length letters given author previous paper corollary stable classification ordered pointed oriented multi component curves surfaces minimal crossing number equal equivalent curve has simply closed curves its components

Tomonori Fukunaga 1

1 Department of Mathematics Hokkaido University Sapporo 060-0810, Japan
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Tomonori Fukunaga. Homotopy classification of nanophrases 
 with at most four letters. Fundamenta Mathematicae, Tome 214 (2011) no. 2, pp. 101-118. doi : 10.4064/fm214-2-1. http://geodesic.mathdoc.fr/articles/10.4064/fm214-2-1/

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