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A PSEUDOCOMPACT TYCHONOFF SPACE THAT IS NOT STAR LINDELÖF
Published online by Cambridge University Press: 21 July 2011
Abstract
Let P be a topological property. A space X is said to be star P if whenever 𝒰 is an open cover of X, there exists a subspace A⊆X with property P such that X=St(A,𝒰), where St(A,𝒰)=⋃ {U∈𝒰:U∩A≠0̸}. In this paper we construct an example of a pseudocompact Tychonoff space that is not star Lindelöf, which gives a negative answer to Alas et al. [‘Countability and star covering properties’, Topology Appl.158 (2011), 620–626, Question 3].
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 84 , Issue 3 , December 2011 , pp. 452 - 454
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2011
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