Property of Kelley for the Cartesian products and hyperspaces
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- by Janusz J. Charatonik and Wlodzimierz J. Charatonik PDF
- Proc. Amer. Math. Soc. 136 (2008), 341-346 Request permission
Abstract:
A continuum $X$ having the property of Kelley is constructed such that neither $X \times [0,1]$, nor the hyperspace $C(X)$, nor small Whitney levels in $C(X)$ have the property of Kelley. This answers several questions asked in the literature.References
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Additional Information
- Janusz J. Charatonik
- Affiliation: Mathematical Institute, University of Wrocław, Wrocław, Poland; and Instituto de Matemàticas, UNAM, Cuidad Universitaria, Mexico
- Wlodzimierz J. Charatonik
- Affiliation: Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, Missouri 65409-0020
- Email: wjcharat@umr.edu
- Received by editor(s): July 9, 2004
- Received by editor(s) in revised form: January 15, 2006
- Published electronically: September 25, 2007
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 341-346
- MSC (2000): Primary 54B10, 54B20, 54F15
- DOI: https://doi.org/10.1090/S0002-9939-07-08650-9
- MathSciNet review: 2350421