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Compactness of subsets of Tychonoff sets via exponential laws

Part of: Fairly general properties Maps and general types of spaces defined by maps

Published online by Cambridge University Press:  09 April 2009

Pedro Morales
Pedro Morales
Affiliation:
Université de Sherbrooke Sherbrooke, Québec, Canada
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Abstract

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Using the exponential map in multifunction context, the paper deduces a system of non-Hausdorff theorems which generalize all known Ascoli theorems for the space of continuous functions and the space of point-compact continuous multifunctions.

MSC classification

Secondary: 54D30: Compactness 54C60: Set-valued maps 54C35: Function spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 3 , June 1983 , pp. 368 - 376
Copyright
Copyright © Australian Mathematical Society 1983

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