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.

 

An example of a space which is countably compact whose square is countably paracompact but not countably compact
HTML articles powered by AMS MathViewer

by Lee Parsons PDF
Proc. Amer. Math. Soc. 65 (1977), 351-354 Request permission

Abstract:

A subspace P of $\beta N - N$ is obtained whose square is disjoint from the graph, G, of a pre-selected homeomorphism $f:\beta N \to \beta N$ that has no fixed points. The construction is performed in such a way that, for $X = P \cup N$, all countable subsets of ${X^2} - G$ will have a limit point in ${X^2}$. We use the following lemma: If $K \subset {(\beta N)^2} - G$ is countably infinite, then $|{\text {cl}_{{{(\beta N)}^2}}}K - G| = {2^c}$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54G20, 54D20
  • Retrieve articles in all journals with MSC: 54G20, 54D20
Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 65 (1977), 351-354
  • MSC: Primary 54G20; Secondary 54D20
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0451218-0
  • MathSciNet review: 0451218