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 compactificationFile in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Compactifications-of-a-PixleyRoy-hyperspace2015Topology-and-its-Applications.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Dimensione
338.8 kB
Formato
Adobe PDF
|
338.8 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
