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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 uncountable strongly concentrated sets of reals
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by Eilon Bilinsky PDF
Proc. Amer. Math. Soc. 149 (2021), 1267-1279 Request permission

Abstract:

We construct new models of ZF with an uncountable set of reals that has a unique condensation point. This addresses a question of Sierpiński from 1918.
References
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Additional Information
  • Eilon Bilinsky
  • Affiliation: Department of Mathematics, Tel Aviv University, 6997801 Tel Aviv, Israel
  • MR Author ID: 993646
  • Email: eilonbil@mail.tau.ac.il
  • Received by editor(s): January 29, 2018
  • Received by editor(s) in revised form: July 17, 2018, July 29, 2018, and October 2, 2018
  • Published electronically: January 21, 2021
  • Communicated by: Heike Mildenberger
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 1267-1279
  • MSC (2010): Primary 03E20, 03E25; Secondary 03E35
  • DOI: https://doi.org/10.1090/proc/14432
  • MathSciNet review: 4211880