Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The product of totally nonmeagre spaces
HTML articles powered by AMS MathViewer

by J. M. Aarts and D. J. Lutzer PDF
Proc. Amer. Math. Soc. 38 (1973), 198-200 Request permission

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.
References
  • J. M. Aarts and D. J. Lutzer, Pseudo-completeness and the product of Baire spaces, Pacific J. Math. 48 (1973), 1–10. MR 326666
  • 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.
  • Eduard Čech, On bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 823–844. MR 1503374, DOI 10.2307/1968839
  • Z. Frolík, Locally complete topological spaces, Soviet Math. Dokl. 2 (1961), 355–357. MR 0119185
  • K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 0217751
  • John C. Oxtoby, Cartesian products of Baire spaces, Fund. Math. 49 (1960/61), 157–166. MR 140638, DOI 10.4064/fm-49-2-157-166
Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 38 (1973), 198-200
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0309056-1
  • MathSciNet review: 0309056