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
Titolo: | Compactifications of a Pixley-Roy hyperspace |
Autori interni: | |
Data di pubblicazione: | 2015 |
Rivista: | |
Handle: | http://hdl.handle.net/20.500.11769/17918 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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File | Descrizione | Tipologia | Licenza | |
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Compactifications-of-a-PixleyRoy-hyperspace2015Topology-and-its-Applications.pdf | Versione Editoriale (PDF) | Open Access Visualizza/Apri |
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