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On isocompactness of function spaces

Published online by Cambridge University Press:  17 April 2009

Jiling Cao
Jiling Cao
Affiliation:
Department of MathematicsThe University of AucklandPrivate Bag 92019AucklandNew Zealand
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Let Cp(X) be the space of all continuous real-valued functions on a Tychonoff space X with the pointwise topology. In this note, we show that if X is a space, then Cp(X) is isocompact. This gives an answer to a recent question of Arkhangel'skii in the class of spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 60 , Issue 3 , December 1999 , pp. 483 - 486
Copyright
Copyright © Australian Mathematical Society 1999

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