EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 60(74), pp. 75--80 (1996)

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$m$-families and common transversals

Mircea Balaj

Department of Mathematics, Oradea University, Ammatei Romane 5, 3700 Oradea, Romania

Abstract: A classical separation theorem was generalized in $R^n$, for $m$-families of open convex sets by Klee [5] and for $m$-families of compact convex sets by Gallivan and Zaks [2]. In our paper we extend these results to topological vector spaces. Finally, two applications are pointed out.

Classification (MSC2000): 52A07

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

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