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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.

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Strong paracompactness and w-$\delta \theta$-refinability of inverse limits
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by Keiko Chiba PDF
Proc. Amer. Math. Soc. 134 (2006), 1213-1221 Request permission

Abstract:

In this paper we construct inverse systems of which each space is strongly paracompact and each bonding map and each projection are open and onto maps, and the limit space is paracompact and not strongly paracompact and we investigate $\delta \theta$-refinability-like properties of limit spaces of inverse systems.
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Additional Information
  • Keiko Chiba
  • Affiliation: Department of Mathematics, Faculty of Science, Shizuoka University, Ohya, Surugaku, Shizuoka, 422-8529 Japan
  • Email: smktiba@ipc.shizuoka.ac.jp
  • Received by editor(s): June 10, 2003
  • Received by editor(s) in revised form: November 2, 2004
  • Published electronically: August 29, 2005
  • Communicated by: Alan Dow
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 1213-1221
  • MSC (2000): Primary 54B10, 54D20; Secondary 54G20
  • DOI: https://doi.org/10.1090/S0002-9939-05-08042-1
  • MathSciNet review: 2196059