The C-compact-open topology on function spaces
General Topology
2012-01-10 v1 Functional Analysis
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.
Cite
@article{arxiv.1201.1568,
title = {The C-compact-open topology on function spaces},
author = {Alexander V. Osipov},
journal= {arXiv preprint arXiv:1201.1568},
year = {2012}
}