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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm214-2-1,
author = {Tomonori Fukunaga},
title = {Homotopy classification of nanophrases with at most four letters},
journal = {Fundamenta Mathematicae},
volume = {215},
year = {2011},
pages = {101-118},
zbl = {1243.57004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm214-2-1}
}
Tomonori Fukunaga. Homotopy classification of nanophrases with at most four letters. Fundamenta Mathematicae, Tome 215 (2011) pp. 101-118. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm214-2-1/