3-pseudomanifolds with preassigned links

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9 Scopus citations

Abstract

A 3-pseudomanifold is a finite connected simplicial 3-complex K such that every triangle inK belongs to precisely two 3-simplices of K the link of eveiy edge in K is a Circuit, and the link of every vertex inK is a closed 2-manifold. It is proved that for every finite set 2 of closed 2-mani- folds, there exists a 3-pseudomanifold K such that the link of every vertex in K is homeomorphic to some S E 2, and every S E 2 is homeomorphic to the link of some vertex in K.

Original languageEnglish
Pages (from-to)213-236
Number of pages24
JournalTransactions of the American Mathematical Society
Volume241
DOIs
StatePublished - 1 Jan 1978

Keywords

  • 2-manifold
  • 3-manifold
  • 3-pseudomanifold
  • Assembling
  • Automorphism-group
  • Convex polytope
  • F-vector
  • Finite field
  • Gale-diagram
  • Link
  • Neighborly complex
  • Nerve-graph
  • Projective transformation
  • Simplicial complex
  • Star

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

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