On the extendability to Π30 ideals and Katětov order

Jialiang He; Jintao Luo; Shuguo Zhang

doi:10.1007/s00153-024-00912-x

On the extendability to Π30 ideals and Katětov order

Jialiang He, Jintao Luo, Shuguo Zhang

Sichuan University

Research output: Contribution to journal › Article › peer-review

Abstract

We show that there is a Σ₄⁰ ideal such that it’s neither extendable to any Π₃⁰ ideal nor above the ideal Fin×Fin in the sense of Katětov order, answering a question from M. Hrušák.

Original language	English
Pages (from-to)	523-528
Number of pages	6
Journal	Archive for Mathematical Logic
Volume	63
Issue number	5-6
DOIs	https://doi.org/10.1007/s00153-024-00912-x
State	Published - Jul 2024
Externally published	Yes

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.

Funding

Jialiang He and Jintao Luo are supported by Science and Technology Department of Sichuan Province (project 2022ZYD0012 and 2023NSFSC1285). Shuguo Zhang is supported by NSFC.

Funders	Funder number
National Natural Science Foundation of China
Science and Technology Department of Sichuan Province	2022ZYD0012, 2023NSFSC1285

Keywords

Borel ideal
Ideal extendability
Katětov order
Primarily 54C65
Secondary 26A03, 03E17

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Cite this

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On the extendability to Π30 ideals and Katětov order

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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