The Bi-Compact-Open Topology on C(X)
General Topology
2016-04-07 v2
Abstract
For the set C(X) of real-valued continuous functions on a Tychonoff space X, the compact-open topology on C(X) is a "set-open topology". This paper studies the separation and countability properties of the space C(X) having the topology given by the join of the compact-open topology and an "open-set topology" called the open-point topology, that was introduced in [6].
Cite
@article{arxiv.1603.05366,
title = {The Bi-Compact-Open Topology on C(X)},
author = {Anubha Jindal and R. A. McCoy and S. Kundu},
journal= {arXiv preprint arXiv:1603.05366},
year = {2016}
}
Comments
Some corrections are made