A pseudocompact Tychonoff space that is not star lindel{\"o}f

Authors

  • yankui song

Keywords:

Pseudocompact, Star countable, Star $\sigma$-compact, star

Abstract

Let $P$ be a topological property. A space $X$ is said to be {\it star P} if whenever $\Cal U$ is an open cover of $X$, there exists a subspace $A\subseteq X$ with property $P$ such that $X=St(A,\Cal U)$, where $St(A,\Cal U)=\bigcup\{U\in \Cal U:U\cap A\neq\emptyset\}.$ In this paper, we construct that an example of a pseudocompact Tychonoff space that is not star lindel{\"o}f, which give a negative answer to Alas, Junqueira and Wilson [1, Question 3]. doi:10.1017/S0004972711002413

Published

2011-10-27

Issue

Vol. 84 No. 3 (2011)

Section

Articles
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