2006/08/16 by Gengyu Zhang, Zhang, Gengyu
Computer Science · Mathematics · #57M25 #Advanced Combinatorial Mathematics #Component (thermodynamics) #Computer science #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Physics #math.GT #msc:57M25 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.math/0608418
15 pages, 10 figures
arxiv created 2006/08/16 · openalex publication_date 2006/08/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We define the crosscap number of a 2-component link as the minimum of the first Betti numbers of connected, non-orientable surfaces bounding the link. We discuss some properties of the crosscap numbers of 2-component links.