Murdoch University Research Repository

Welcome to the Murdoch University Research Repository

The Murdoch University Research Repository is an open access digital collection of research
created by Murdoch University staff, researchers and postgraduate students.

Learn more

A note on compact sets in spaces of subsets

Diamond, P. and Kloeden, P. (1988) A note on compact sets in spaces of subsets. Bulletin of the Australian Mathematical Society, 38 (3). pp. 393-395.

Link to Published Version:
*Subscription may be required


A simple characterisation is given of compact sets of the space K(X), of nonempty compact subsets of a complete metric space X, with the Hausdorff metric dH. It is used to give a new proof of the Blaschke selection theorem for compact starshaped sets.

Item Type: Journal Article
Murdoch Affiliation(s): School of Mathematical and Physical Sciences
Publisher: Cambridge University Press
Copyright: © 1988 Australian Mathematical Society
Item Control Page Item Control Page