On the Kocinac alpha_i properties

Details On the Kocinac alpha_i properties On the Kocinac alpha_i properties

2006-07-24

arxiv.org/abs/math/0607592v4

Topology and its Applications 155 (2007), 141-145

Mathematics

General Topology

Scientific paper

10.1016/j.topol.2007.08.018

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.

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