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Ascoli theorems and the pseudocharacter of mapping spaces
Published online by Cambridge University Press: 17 April 2009
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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.
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- Copyright © Australian Mathematical Society 1974
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