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arXiv:1201.1568 [math.GN]AbstractReferencesReviewsResources

The C-compact-open topology on function spaces

Alexander V. Osipov

Published 2012-01-07Version 1

This paper studies the C-compact-open topology on the set C(X) of all realvalued continuous functions on a Tychonov space X and compares this topology with several well-known and lesser known topologies. We investigate the properties C-compact-open topology on the set C(X) such as submetrizable, metrizable, separable and second countability.

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