%0 Journal Article %T The C-compact-open topology on function spaces %A Alexander V. Osipov %J Mathematics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1201.1568v1