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Tall Fσ subideals of tall analytic ideals

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Grebík, Jan and Vidnyánszky, Zoltán (2023) Tall Fσ subideals of tall analytic ideals. Proceedings of the American Mathematical Society, 151 . 4043-4046 . doi:10.1090/proc/16415 ISSN 0002-9939. (In Press)

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Official URL: https://doi.org/10.1090/proc/16415

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Abstract

Answering a question of Hrušák, we show that every analytic tall ideal on ω contains an Fσ tall ideal. We also give an example of an Fσ tall ideal without a Borel selector.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Ideals (Algebra), Set theory
Journal or Publication Title: Proceedings of the American Mathematical Society
Publisher: American Mathematical Society
ISSN: 0002-9939
Official Date: 2023
Dates:
DateEvent
2023Published
16 June 2023Available
16 June 2023Accepted
Volume: 151
Page Range: 4043-4046
DOI: 10.1090/proc/16415
Status: Peer Reviewed
Publication Status: In Press
Reuse Statement (publisher, data, author rights): First published in Proceedings of the American Mathematical Society in 151, (2023), published by the American Mathematical Society
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 11 September 2023
Date of first compliant Open Access: 11 September 2023
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
RPG-2018-424Leverhulme Trusthttp://dx.doi.org/10.13039/501100000275
113047Nemzeti Kutatási Fejlesztési és Innovációs Hivatalhttp://dx.doi.org/10.13039/501100011019
129211Nemzeti Kutatási Fejlesztési és Innovációs Hivatalhttp://dx.doi.org/10.13039/501100011019
P29999Austrian Science Fundhttp://dx.doi.org/10.13039/501100002428
M2779Austrian Science Fundhttp://dx.doi.org/10.13039/501100002428

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