On uncountable strongly concentrated sets of reals
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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