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The Stone-Čech compactification and weakly Fréchet spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
This paper resulted from an attempt to answer questions like: does βP have a subspace homeomorphic to βQ and does βQ have a subspace homeomorphic to P, where P denotes the space of all irrational numbers. These questions are answered in the negative by providing the appropriate machinery which can also be applied to other examples. En route we prove that weakly Fréchet realcompact spaces have homeomorphic Stone-Čech compactifications if and only if they are homeomorphic.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 42 , Issue 2 , October 1990 , pp. 349 - 352
- Copyright
- Copyright © Australian Mathematical Society 1990
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