Replacing convex sets by polytopes

S. Gallivan1, J. Zaks

Research output: Contribution to journalArticlepeer-review


A conjecture of A. J. Hoffman is settled by showing that if P is a ri-polytope in E, if compact convex subsets C.are such that every (-dimensional affine flat that meets P also meets U _.Cthen there exist polytopes such that every i-flat that meets P also meets U.D., provided Counterexamples are given for the cases where.

Original languageEnglish
Pages (from-to)351-357
Number of pages7
JournalProceedings of the American Mathematical Society
Issue number1
StatePublished - Jul 1975


  • Affine flat
  • Compact convex s
  • D-polytope

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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