The product of totally nonmeagre spaces-Reference-Cited by-同舟云学术

The product of totally nonmeagre spaces

Published:1973 Issue:1 Volume:38 Page:198-200
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Aarts J. M.,Lutzer D. J.

Abstract

In this note we give an example of a separable, pseudo-complete metric space X X which is totally nonmeagre (= every closed subspace of X X is a Baire space) and yet whose square X × X X \times X not totally nonmeagre.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-038-01/S0002-9939-1973-0309056-1/S0002-9939-1973-0309056-1.pdf

Reference6 articles.

1. Pseudo-completeness and the product of Baire spaces;Aarts, J. M.;Pacific J. Math.,1973

2. N. Bourbaki, Éléments de mathématique. Fasc. VIII. Livre III: Topologie générale, Chap. 9, Actualités Sci. Indust., no. 1045, Hermann, Paris, 1961; English transl., Addison-Wesley, Reading, Mass., 1966. MR 25 #4480; MR 34 #5044a.

3. On bicompact spaces;Čech, Eduard;Ann. of Math. (2),1937

4. Locally complete topological spaces;Frolík, Z.;Soviet Math. Dokl.,1961

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