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.

 

An answer to a conjecture on the countable products of $k$-spaces
HTML articles powered by AMS MathViewer

by Huai Peng Chen PDF
Proc. Amer. Math. Soc. 123 (1995), 583-587 Request permission

Abstract:

In this paper the author shows: Theorem (CH). There is a ${k_\omega }$-space X which is not locally compact but for which ${X^\omega }$ has a k-system. This answers a conjecture of Y. Tanaka
References
    A. V. Arhangelskii, Factor mapping of metric spaces, Soviet Math. Dokl. 5 (1964), 368-371.
  • A. V. Arhangel′skiĭ, Bicompact sets and the topology of spaces., Trudy Moskov. Mat. Obšč. 13 (1965), 3–55 (Russian). MR 0195046
  • Yoshio Tanaka, Some necessary conditions for products of $k$-spaces, Bull. Tokyo Gakugei Univ. (4) 30 (1978), 1–16. MR 512222
  • Yoshio Tanaka, Point-countable $k$-systems and products of $k$-spaces, Pacific J. Math. 101 (1982), no. 1, 199–208. MR 671852
  • Yoshio Tanaka, On the products of $k$-spaces question, Questions Answers Gen. Topology 1 (1983), no. 1, 36–50. MR 698037
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54D50, 54B10
  • Retrieve articles in all journals with MSC: 54D50, 54B10
Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 583-587
  • MSC: Primary 54D50; Secondary 54B10
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1273481-X
  • MathSciNet review: 1273481