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.
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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.
|Publication Type:||Journal Article|
|Murdoch Affiliation:||School of Mathematical and Physical Sciences|
|Publisher:||Cambridge University Press|
|Copyright:||© 1988 Australian Mathematical Society|
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