Tall $F_\sigma$ subideals of tall analytic ideals
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- by Jan Grebík and Zoltán Vidnyánszky;
- Proc. Amer. Math. Soc. 151 (2023), 4043-4046
- DOI: https://doi.org/10.1090/proc/16415
- Published electronically: June 16, 2023
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Abstract:
Answering a question of Hrušák, we show that every analytic tall ideal on $\omega$ contains an $F_\sigma$ tall ideal. We also give an example of an $F_\sigma$ tall ideal without a Borel selector.References
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Bibliographic Information
- Jan Grebík
- Affiliation: Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
- Email: jan.grebik@warwick.ac.uk
- Zoltán Vidnyánszky
- Affiliation: Eötvös Loránd University, Institute of Mathematics, Pázmány Péter stny. 1/C, 1117 Budapest, Hungary
- ORCID: 0000-0001-8168-9353
- Email: zoltan.vidnyanszky@ttk.elte.hu
- Received by editor(s): September 28, 2020
- Received by editor(s) in revised form: February 1, 2021
- Published electronically: June 16, 2023
- Additional Notes: The first author was supported by Leverhulme Research Project Grant RPG-2018-424. The second author was supported by the National Research, Development and Innovation Office – NKFIH, grants no. 113047, 129211, and FWF Grants P29999 and M2779.
- Communicated by: Heike Mildenberger
- © Copyright 2023 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 151 (2023), 4043-4046
- MSC (2020): Primary 03E15
- DOI: https://doi.org/10.1090/proc/16415
- MathSciNet review: 4607646