Article ID Journal Published Year Pages File Type
4659100 Topology and its Applications 2012 8 Pages PDF
Abstract

This paper studies the C-compact-open topology on the set C(X) of all real-valued continuous functions on a Tychonoff space X and compares this topology with several well-known and lesser-known topologies. We investigate the properties of the C-compact-open topology on the set C(X) such as submetrizability, metrizability, separability and second-countability.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology