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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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On nonseparable growths of $\omega$ supporting measures
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by Piotr Borodulin-Nadzieja and Tomasz Żuchowski PDF
Proc. Amer. Math. Soc. 148 (2020), 4983-4995 Request permission

Abstract:

We present several $\mathsf {ZFC}$ examples of compactifications $\gamma \omega$ of $\omega$ such that their remainders $\gamma \omega \backslash \omega$ are nonseparable and carry strictly positive measures.
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Additional Information
  • Piotr Borodulin-Nadzieja
  • Affiliation: Instytut Matematyczny, Uniwersytet Wrocławski, 50-384 Wrocław, Poland
  • MR Author ID: 767718
  • Email: pborod@math.uni.wroc.pl
  • Tomasz Żuchowski
  • Affiliation: Instytut Matematyczny, Uniwersytet Wrocławski, 50-384 Wrocław, Poland
  • Email: tomasz.zuchowski@math.uni.wroc.pl
  • Received by editor(s): May 18, 2016
  • Received by editor(s) in revised form: April 16, 2017
  • Published electronically: July 30, 2020
  • Additional Notes: The first author was partially supported by National Science Center grant no. 2013/11/B/ST1/03596 (2014-2017).
  • Communicated by: Mirna Dzamonja
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 4983-4995
  • MSC (2010): Primary 03E75, 28A60, 28E15, 54D40
  • DOI: https://doi.org/10.1090/proc/13804
  • MathSciNet review: 4143408