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      https://www.ias.ac.in/article/fulltext/pmsc/112/02/0257-0281

    • Keywords

       

      Two-dimensional complexes; pseudomanifolds; degree of a map

    • Abstract

       

      We explicitly determine all the two-dimensional weak pseudomanifolds on 8 vertices. We prove that there are (up to isomorphism) exactly 95 such weak pseudomanifolds, 44 of which are combinatorial 2-manifolds. These 95 weak pseudomanifolds triangulate 16 topological spaces. As a consequence, we prove that there are exactly three 8-vertex two-dimensional orientable pseudomanifolds which allow degree three maps to the 4-vertex 2-sphere.

    • Author Affiliations

       

      Basudeb Datta1 Nandini Nilakantan1

      1. Department of Mathematics, Indian Institute of Science, Bangalore - 560 012, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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