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Axioms for convexity

Published online by Cambridge University Press:  17 April 2009

W.A. Coppel
W.A. Coppel
Affiliation:
Department of Theoretical Physics, Institute of Advanced Studies Australian National University, GPO Box 4 Canberra ACT 2601, Australia
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Abstract

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The basic elementary results about convex sets are derived successively from various properties of segments. The complete set of properties is shown to form a natural set of axioms characterising the convex sets in a real vector space.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 2 , April 1993 , pp. 179 - 197
Copyright
Copyright © Australian Mathematical Society 1993

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