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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On compact$ \sp{\ast} $ spaces and compactifications


Author: Sergio Salbany
Journal: Proc. Amer. Math. Soc. 45 (1974), 274-280
MSC: Primary 54D30; Secondary 54C35
MathSciNet review: 0355970
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Abstract: The space $ \beta X$ of $ Z$-ultrafilters on $ X$ with the standard filter space topology is shown to be compact*. Without considering the reflection associated with compact* spaces, we also prove that products of compact* spaces are compact*, in response to a request for a direct proof.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0355970-1
PII: S 0002-9939(1974)0355970-1
Keywords: Stone-Čech compactification, compact* spaces, products of compact* spaces, axiom of choice
Article copyright: © Copyright 1974 American Mathematical Society



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