Partitions of the Baire space into compact sets

We define a c.c.c. forcing which adds a maximal almost disjoint family of finitely splitting trees on $\omega $ (a.d.f.s. family) or equivalently a partition of the Baire space into compact sets of desired size. Further, we utilize this forcing to ad

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Publication Details

Journal
Fundamenta Mathematicae
Published
2025-01-01
DOI
https://doi.org/10.4064/fm220818-19-2
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00

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article

Partitions of the Baire space into compact sets

Vera Fischer, Lukas Schembecker
Fundamenta Mathematicae
Mathematical Dynamics and Fractals
article

Partitions of the Baire space into compact sets

Vera Fischer, Lukas Schembecker
article en

Abstract

We define a c.c.c. forcing which adds a maximal almost disjoint family of finitely splitting trees on $\omega $ (a.d.f.s. family) or equivalently a partition of the Baire space into compact sets of desired size. Further, we utilize this forcing to ad

Fundamenta MathematicaeVol. 269(1)
University of Vienna (AT), Universität Hamburg (DE), Hochschule Campus Wien (AT), HAW Hamburg (DE)
Austrian Science Fund
Reduced inequalities
Openalex Percentile: Top 88%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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