• Combinatorial manifolds with complementarity

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      https://www.ias.ac.in/article/fulltext/pmsc/104/02/0385-0388

    • Keywords

       

      Combinatorial manifolds; complementarity

    • Abstract

       

      A simplicial complex is said to satisfy complementarity if exactly one of each complementary pair of nonempty vertex-sets constitutes a face of the complex.

      We show that if a d-dimensional combinatorial manifold M with n vertices satisfies complementarity then d=0, 2, 4, 8, or 16 with n=3d/2+3 and |M| is a “manifold like a projective plane”. Arnoux and Marin had earlier proved the converse statement.

    • Author Affiliations

       

      Basudeb Datta1

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

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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