The C-compact-open topology on function spaces

Details The C-compact-open topology on function spaces The C-compact-open topology on function spaces

2012-01-07

arxiv.org/abs/1201.1568v1

Mathematics

General Topology

Scientific paper

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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