Productively countably tight spaces of the form C_k(X)
General Topology
2013-12-02 v3
Abstract
Some results in C_k-theory are obtained with the use of bornologies. We investigate under which conditions the space of the continuous real functions with the compact-open topology is a productively countably tight space, which yields some applications on Alster spaces.
Keywords
Cite
@article{arxiv.1311.2011,
title = {Productively countably tight spaces of the form C_k(X)},
author = {Leandro Fiorini Aurichi and Renan Maneli Mezabarba},
journal= {arXiv preprint arXiv:1311.2011},
year = {2013}
}
Comments
Notation for the compact-open topology changed; Theorem 3.5 improved