Article ID Journal Published Year Pages File Type
4658149 Topology and its Applications 2015 10 Pages PDF
Abstract

For a Hausdorff space X  , let PR(X)PR(X) be the Pixley–Roy hyperspace of X. Dow and Moore [10, Proposition 2.13] noted that no compactification of PR(2ω)PR(2ω) has countable tightness. In this paper, we will discuss when PR(X)PR(X) has a compactification of countable tightness in general. Among other things, we will show that if a Pixley–Roy hyperspace has a compactification of countable tightness, then it will actually have a Corson compactification.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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