Pseudocompactness and closed subsets of products
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- by James E. Joseph PDF
- Proc. Amer. Math. Soc. 74 (1979), 338-342 Request permission
Abstract:
This paper contains several new characterizations of arbitrary pseudocompact spaces, i.e. spaces characterized by the property that all continuous real-valued functions on the space are bounded. These characterizations parallel known characterizations of Hausdorff spaces including the useful and well-known result that a space Y is Hausdorff if and only if $\phi = \alpha$ whenever $\phi$ and $\alpha$ are continuous functions on a common domain into Y which agree on a dense subset of the domain.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 338-342
- MSC: Primary 54D30; Secondary 54C30, 54C99
- DOI: https://doi.org/10.1090/S0002-9939-1979-0524313-7
- MathSciNet review: 524313