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TOPOLOGICAL TOMOGRAPHY IN CONVEXITY

Published online by Cambridge University Press:  22 May 2002

L. MONTEJANO  and
E. SHCHEPIN
L. MONTEJANO
Affiliation:
Universidad Nacional Autonoma de Mexico, Instituto de Matematicas, Ciudad Universitaria, Mexico D.F. 04510 luis@matem.unam.mx
E. SHCHEPIN
Affiliation:
Universidad Nacional Autonoma de Mexico, Instituto de Matematicas, en Cuernavaca, Cuernavaca, Morelos, Mexicoscepin@aluxe.matcuer.unam.mx
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Abstract

The main theorem of this paper generalizes a classic Aumann's characterization of compact convex sets, via the acyclicity of their hypersections, to arbitrary weakly closed subsets of a locally convex linear space.

Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 3 , May 2002 , pp. 353 - 358
Copyright
© The London Mathematical Society 2002

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