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Israel Journal of Mathematics

, Volume 78, Issue 1, pp 21–32 | Cite as

The ham sandwich theorem revisited

  • Sinisa T. Vrećica
  • Rade T. Živaljević
Article

Abstract

This paper continues the search, started in [10], for relatives of the ham sandwich theorem. We prove among other results, the following implications {fx21-1} whereK(n, k) is an important instance of the Knaster’s conjecture so thatK(n, n − 1) reduces to the Borsuk-Ulam theorem,B(n, k) is a R. Rado type statement about (k + 1) measures inR n whereB(n, n − 1) turns out to be the ham sandwich theorem andC(n, k) is a topological statement, established in this paper in the caseC(n, n − 2),n = 3 orn ≥ 5.

Keywords

Vector Bundle Spectral Sequence Euler Class Grassmann Manifold Canonical Bundle 
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Copyright information

© The Magnes Press 1992

Authors and Affiliations

  • Sinisa T. Vrećica
    • 1
  • Rade T. Živaljević
    • 2
  1. 1.Faculty of MathematicsBeograd, p.p. 550Yugoslavia
  2. 2.Mathematics InstituteBeograd, p.p. 367Yugoslavia

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