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arXiv · 1201.1568

The C-compact-open topology on function spaces

Alexander V. Osipov
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Abstract

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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Alexander V. Osipov. 2012-01-07. The C-compact-open topology on function spaces. https://arxiv.org/abs/1201.1568

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