arXiv Analytics

Sign in

arXiv:math/0503683 [math.CO]AbstractReferencesReviewsResources

Topology of words

Vladimir Turaev

Published 2005-03-29, updated 2005-05-30Version 2

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.

Comments: 59 pages, 4 figures. In the second version I added a discussion of the S-homotopy of words (Section 2)
Categories: math.CO, math.GT
Subjects: 68R15, 57M99
Related articles:
arXiv:math/0609516 [math.CO] (Published 2006-09-19)
Lectures on Topology of Words
arXiv:1209.0287 [math.CO] (Published 2012-09-03)
Simplified numerical form of universal finite type invariant of Gauss words