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 2024 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.

 

Hereditary D-property of function spaces over compacta
HTML articles powered by AMS MathViewer

by Raushan Z. Buzyakova
Proc. Amer. Math. Soc. 132 (2004), 3433-3439
DOI: https://doi.org/10.1090/S0002-9939-04-07472-6
Published electronically: May 20, 2004

Abstract:

It is shown that if $X$ is compact then every subspace of $C_p(X)$ is a $D$-space in the sense of E. van Douwen, which positively answers Matveev’s question. A connection between the $D$-property and Baturov’s and Grothendieck’s classical theorems about function spaces over compacta is established.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 54C35, 54D20, 54C60
  • Retrieve articles in all journals with MSC (2000): 54C35, 54D20, 54C60
Bibliographic Information
  • Raushan Z. Buzyakova
  • Affiliation: Department of Mathematics, Brooklyn College, Brooklyn, New York 11210
  • Email: RaushanB@brooklyn.cuny.edu
  • Received by editor(s): April 21, 2003
  • Received by editor(s) in revised form: July 31, 2003
  • Published electronically: May 20, 2004
  • Additional Notes: The author’s research was supported by PSC-CUNY grant 64457-00 33.

  • Dedicated: To my teacher Alexander Arhangel’skii for his $65^{\textit {th}}$ birthday
  • Communicated by: Alan Dow
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 3433-3439
  • MSC (2000): Primary 54C35, 54D20, 54C60
  • DOI: https://doi.org/10.1090/S0002-9939-04-07472-6
  • MathSciNet review: 2073321