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Cardinal functions of Pixley–Roy hyperspaces
- Source :
-
Topology & Its Applications . Aug2012, Vol. 159 Issue 13, p3080-3088. 9p. - Publication Year :
- 2012
-
Abstract
- Abstract: Let be the Pixley–Roy hyperspace of a regular space X, and let . For tightness t and supertightness st, we show the following equalities: [(1)] , [(2)] . The first equality answers a question posed in Sakai (1983) . The inequality is strict, indeed there is a space Z such that . The discrete countable chain condition and weak Lindelöf property of are also investigated. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01668641
- Volume :
- 159
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- Topology & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 77780459
- Full Text :
- https://doi.org/10.1016/j.topol.2012.05.020