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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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Open images of orderable spaces
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by M. Hušek and W. Kulpa PDF
Proc. Amer. Math. Soc. 88 (1983), 711-715 Request permission

Abstract:

The class of open continuous images of orderable spaces is characterized, and it is shown that it contains all suborderable spaces. Several results concerning open images of metrizable spaces are generalized to higher cardinals, e.g., every completely linearly uniformizable space is an open continuous image of a Baire space ${({\kappa ^\lambda })_\lambda }$.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 88 (1983), 711-715
  • MSC: Primary 54C10; Secondary 06F30, 54F05
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0702305-3
  • MathSciNet review: 702305