Glasnik Matematicki, Vol. 42, No.1 (2007), 57-67.

ČEBYŠEV SETS IN HYPERSPACES OVER A MINKOWSKI SPACE

Agnieszka Bogdewicz, Robert Dawson and Maria Moszynska

Department of Mathematics and Computing Science, Saint Mary's University, Halifax, Nova Scotia, Canada
e-mail: rdawson@cs.stmarys.ca

Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland
e-mail: mariamos@mimuw.edu.pl

Abstract.   In this paper we extend our previous results on Čebyšev sets in hyperspaces over a Euclidean n-space to hyperspaces over a Minkowski space.

2000 Mathematics Subject Classification.   41A52, 52A20, 46B99.

Key words and phrases.   Convex body, strictly convex set, Čebyšev set, relative Čebyšev set, Minkowski space.

DOI: 10.3336/gm.42.1.04

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