On the Kočinac αi properties

Boaz Tsaban

doi:10.1016/j.topol.2007.08.018

On the Kočinac α_i properties

Boaz Tsaban

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

The Kočinac α_i properties, i = 1, 2, 3, 4, are generalizations of Arhangel'skiǐ's α_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 Kočinac.

Original language	English
Pages (from-to)	141-145
Number of pages	5
Journal	Topology and its Applications
Volume	155
Issue number	3
DOIs	https://doi.org/10.1016/j.topol.2007.08.018
State	Published - 15 Dec 2007

Bibliographical note

Funding Information:
* Address for correspondence: Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel. E-mail address: [email protected]. URL: http://www.cs.biu.ac.il/~tsaban. 1 Supported by the Koshland Center for Basic Research.

Funding

* Address for correspondence: Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel. E-mail address: [email protected]. URL: http://www.cs.biu.ac.il/~tsaban. 1 Supported by the Koshland Center for Basic Research.

Funders	Funder number
Koshland Center for Basic Research

Keywords

Arhangel'skiǐ α spaces
Kočinac α selection principles
Totally bounded groups

Access to Document

10.1016/j.topol.2007.08.018

Cite this

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abstract = "The Ko{\v c}inac αi properties, i = 1, 2, 3, 4, are generalizations of Arhangel'skiǐ's αi 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 Ko{\v c}inac.",

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