Topology of words
Combinatorics
2007-05-23 v2 Geometric Topology
Abstract
We introduce a topological approach to words. Words are approximated by Gauss words and then studied up to natural modifications inspired by homotopy transformations of curves on the plane.
Cite
@article{arxiv.math/0503683,
title = {Topology of words},
author = {Vladimir Turaev},
journal= {arXiv preprint arXiv:math/0503683},
year = {2007}
}
Comments
59 pages, 4 figures. In the second version I added a discussion of the S-homotopy of words (Section 2)