2005/03/29 by Vladimir Turaev, Turaev, Vladimir
Computer Science · Mathematics · #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #math.CO #math.GT #msc:57M99 #msc:68R15 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.math/0503683
59 pages, 4 figures. In the second version I added a discussion of the S-homotopy of words (Section 2)
arxiv created 2005/05/30 · arxiv updated 2009/12/01
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.