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A note on compact sets in spaces of subsets
Published online by Cambridge University Press: 17 April 2009
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.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 38 , Issue 3 , December 1988 , pp. 393 - 395
- Copyright
- Copyright © Australian Mathematical Society 1988
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