On extendability to $$F_\sigma $$ ideals

Archive for Mathematical Logic 61 (7):881-890 (2022)
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Abstract

Answering in negative a question of M. Hrušák, we construct a Borel ideal not extendable to any \(F_\sigma \) ideal and such that it is not Katětov above the ideal \(\mathrm {conv}\).

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10.1007/s00153-022-00822-w

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On extendability to Fσ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_\sigma $$\end{document} ideals. [REVIEW]Adam Kwela - 2022 - Archive for Mathematical Logic 61 (7-8):881-890.
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References found in this work

Katětov order on Borel ideals.Michael Hrušák - 2017 - Archive for Mathematical Logic 56 (7-8):831-847.
On statistical convergence.J. A. Fridy - 1985 - Analysis: International mathematical journal of Analysis and its Applications 5 (4).

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