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Ascoli theorems and the pseudocharacter of mapping spaces

Published online by Cambridge University Press:  17 April 2009

J.A. Guthrie
J.A. Guthrie
Affiliation:
Department of Mathematics, University of Pittsburgh, Pennsylvania, USA.
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The pseudocharacter of the space YX of continuous functions from X to Y is studied. For certain topologies on YX sufficient conditions, which are shown in some cases also to be necessary, for YX to have a specified pseudocharacter are given. An Ascoli theorem is a theorem which characterizes the compact subsets of YX. Several Ascoli theorems are obtained, including ones which utilize results on pseudocharacter.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 10 , Issue 3 , June 1974 , pp. 403 - 408
Copyright
Copyright © Australian Mathematical Society 1974

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