For a Hausdorff space X, let PR(X) be the Pixley-Roy hyperspace of X. Dow and Moore [10, Proposition 2.13] noted that no compactification of PR(2ω) has countable tightness. In this paper, we will discuss when 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

Compactifications of a Pixley-Roy hyperspace

BELLA, Angelo;
2015

Abstract

For a Hausdorff space X, let PR(X) be the Pixley-Roy hyperspace of X. Dow and Moore [10, Proposition 2.13] noted that no compactification of PR(2ω) has countable tightness. In this paper, we will discuss when 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
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/17918
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