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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Pseudocompact spaces and functionally determined uniformities


Author: Rodolfo Talamo
Journal: Proc. Amer. Math. Soc. 56 (1976), 318-320
MSC: Primary 54E15; Secondary 54C30
DOI: https://doi.org/10.1090/S0002-9939-1976-0407808-3
MathSciNet review: 0407808
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Abstract: A topological space is pseudocompact if and only if every admissible uniformity is functionally determined. We construct, on the discrete countable space $ N$, an admissible (pseudo)-metric uniformity which is not functionally determined.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0407808-3
Keywords: Pseudocompact space, functionally determined uniformity, $ C$-embedding, $ u$-embedding
Article copyright: © Copyright 1976 American Mathematical Society

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