On the Kocinac alpha_i properties
General Topology
2010-11-05 v4 Combinatorics
Logic
Abstract
The Kocinac alpha_i properties, i=1,2,3,4, are generalizations of Arhangel'skii's alpha_i local properties. We give a complete classification of these properties when applied to the standard families of open covers of topological spaces or to the standard families of open covers of topological groups. One of the latter properties characterizes totally bounded groups. We also answer a question of Kocinac.
Cite
@article{arxiv.math/0607592,
title = {On the Kocinac alpha_i properties},
author = {Boaz Tsaban},
journal= {arXiv preprint arXiv:math/0607592},
year = {2010}
}