Bornoligies, Topological Games and Function Spaces
General Topology
2014-03-28 v1
Abstract
In this paper, we continue the study of function spaces equipped with topologies of (strong) uniform convergence on bornologies initiated by Beer and Levi \cite{beer-levi:09}. In particular, we investigate some topological properties these function spaces defined by topological games. In addition, we also give further characterizations of metrizability and completeness properties of these function spaces.
Keywords
Cite
@article{arxiv.1403.6905,
title = {Bornoligies, Topological Games and Function Spaces},
author = {Jiling Cao and Artur H. Tomita},
journal= {arXiv preprint arXiv:1403.6905},
year = {2014}
}
Comments
15 pages