Journal article
A note on compact sets in spaces of subsets
Bulletin of the Australian Mathematical Society, Vol.38(3), pp.393-395
1988
Abstract
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.
Details
- Title
- A note on compact sets in spaces of subsets
- Authors/Creators
- P. Diamond (Author/Creator) - The University of QueenslandP. Kloeden (Author/Creator)
- Publication Details
- Bulletin of the Australian Mathematical Society, Vol.38(3), pp.393-395
- Publisher
- Cambridge University Press
- Identifiers
- 991005542594207891
- Copyright
- © 1988 Australian Mathematical Society
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 4 Electrical Engineering, Electronics & Computer Science
- 4.61 Artificial Intelligence & Machine Learning
- 4.61.56 Fuzzy Decision-Making
- Web Of Science research areas
- Mathematics
- ESI research areas
- Mathematics