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;
2015-01-01
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 compactificationFile in questo prodotto:
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