On compact$^{\ast }$ spaces and compactifications
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- by Sergio Salbany PDF
- Proc. Amer. Math. Soc. 45 (1974), 274-280 Request permission
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.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 274-280
- MSC: Primary 54D30; Secondary 54C35
- DOI: https://doi.org/10.1090/S0002-9939-1974-0355970-1
- MathSciNet review: 0355970