Homotopy invariants of Gauss phrases

Details Homotopy invariants of Gauss phrases Homotopy invariants of Gauss phrases

2008-10-24

arxiv.org/abs/0810.4389v2

Mathematics

Geometric Topology

17 pages. Second version: Contents reordered, some definitions and proofs improved

Scientific paper

Equivalence relations can be defined on Gauss phrases using combinatorial
moves. In this paper we consider two closely related equivalence relations on
Gauss phrases, homotopy and open homotopy. In particular, in each case, we
define a new invariant and determine the values that it can attain.

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