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Proceedings of the American Mathematical Society

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

 
 

 

The product of totally nonmeagre spaces


Authors: J. M. Aarts and D. J. Lutzer
Journal: Proc. Amer. Math. Soc. 38 (1973), 198-200
DOI: https://doi.org/10.1090/S0002-9939-1973-0309056-1
MathSciNet review: 0309056
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Abstract: In this note we give an example of a separable, pseudo-complete metric space $ X$ which is totally nonmeagre (= every closed subspace of $ X$ is a Baire space) and yet whose square $ X \times X$ not totally nonmeagre.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0309056-1
Keywords: Baire space, totally nonmeagre space, totally imperfect sets
Article copyright: © Copyright 1973 American Mathematical Society

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