Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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.

 

Lindelöf spaces concentrated on Bernstein subsets of the real line
HTML articles powered by AMS MathViewer

by L. Brian Lawrence PDF
Proc. Amer. Math. Soc. 114 (1992), 211-215 Request permission

Abstract:

We show in ZFC that for each $n$ with $n \in \omega$ or $n = \omega$, there is a Lindelöf space $X$ and a separable metric space $M$ such that for every $m < n$, $X \times {}^mM$ is Lindelöf, whereas $X \times {}^nM$ is nonnormal.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54D20, 54E50
  • Retrieve articles in all journals with MSC: 54D20, 54E50
Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 211-215
  • MSC: Primary 54D20; Secondary 54E50
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1062832-4
  • MathSciNet review: 1062832