2008/10/24 by Andrew Gibson, Gibson, Andrew · 1 citation
Mathematics · #57M99 (primary) #68R15 (secondary) #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.CO #math.GT #msc:57M99 #msc:68R15
paper · pdf · doi:10.48550/arxiv.0810.4389
17 pages. Second version: Contents reordered, some definitions and proofs improved
openalex publication_date 2008/10/24 · arxiv created 2009/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.