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Two-dimensional weak pseudomanifolds on eight vertices

  • Basudeb DattaEmail author
  • Nandini Nilakantan
Article

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.

Keywords

Two-dimensional complexes pseudomanifolds degree of a map 

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Copyright information

© Indian Academy of Sciences 2002

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of ScienceBangaloreIndia

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