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An Extension of the Ham Sandwich Theorem
Author(s) -
Zivaljević Rade T.,
Vrećica Siniša t.
Publication year - 1990
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/22.2.183
Subject(s) - mathematics , extension (predicate logic) , measure (data warehouse) , danskin's theorem , regular polygon , discrete mathematics , borel measure , pure mathematics , combinatorics , brouwer fixed point theorem , fixed point theorem , probability measure , geometry , computer science , programming language , database
It is shown that both the ‘ham sandwich theorem’ and Richard Rado's theorem on general measure (see [6]), which is known to be a measure theoretic equivalent of E. Helly's theorem on convex sets, belong to the same family of results about geometric, extremal properties of measures which are defined on Borel sets in R n .
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