H-closed Spaces and H-sets in the Convergence Setting
General Topology
2015-10-28 v1
Abstract
We use convergence theory as the framework for studying H-closed spaces and H-sets in topological spaces. From this viewpoint, it becomes clear that the property of being H-closed and the property of being an H-set in a topological space are pretopological notions. Additionally, we define a version of H-closedness for pretopological spaces and investigate the properties of such a space.
Cite
@article{arxiv.1510.08044,
title = {H-closed Spaces and H-sets in the Convergence Setting},
author = {John Reynolds},
journal= {arXiv preprint arXiv:1510.08044},
year = {2015}
}
Comments
14 pages