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Gale transforms and closed faces of infinite dimensional polytopes

Published online by Cambridge University Press:  26 February 2010

P. Kleinschmidt  and
G. R. Wood
P. Kleinschmidt
Affiliation:
Institut für Mathematik der Ruhr-Universität-Bochum, 4630 Bochum, Federal Republic of Germany.
G. R. Wood
Affiliation:
Department of Mathematics, University of Canterbury, Christchurch, New Zealand.
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Abstract

Gale transforms are constructed for certain infinite dimensional α-polytopes. In a manner analogous to the finite dimensional case the Gale transform can be used to determine all closed faces and Radon partitions of the α-polytope. A by-product is a characterization of closed faces using nets of functionals.

Type
Research Article
Information
Mathematika , Volume 31 , Issue 2 , December 1984 , pp. 291 - 304
Copyright
Copyright © University College London 1984

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