On Generalization of Homotopy of Words and Its Applications

Details On Generalization of Homotopy of Words and Its Applications On Generalization of Homotopy of Words and Its Applications

2009-08-20

arxiv.org/abs/0908.2899v2

Mathematics

Geometric Topology

21 pages, 1 figure; We modified the definition of some invariants. See Remark 5.3

Scientific paper

V. Turaev introduced the theory of topology of words and phrases in 2005. This is a combinatorialy extension of the theory of virtual knots and links. In this paper we generalize the notion of homotopy of words and phrases and we give geometric meanings of the generalized homotopy of words. Moreover using the generalized homotopy theory of words and phrases, we extend some homotopy invariants of nanophrases to $S$-homotopy invariant of nanowords with some homotopy data $S$.

Affiliated with

Also associated with

No associations

Rating

On Generalization of Homotopy of Words and Its Applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Generalization of Homotopy of Words and Its Applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Generalization of Homotopy of Words and Its Applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526621