On an extension of the Nöbeling rational universal space

A subspace $X$ of the Hilbert cube $I^{\mathbb N}$ is rational if $X = G \cup S$, where $\dim G = 0$ and $S$ is countable. Nöbeling (1934) proved that this class has a universal element, the Nöbeling space $V = \mathbb P^{\mathbb N} \cup \mathbb Q_f^{\mat

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Journal
Fundamenta Mathematicae
Published
2024-11-25
DOI
https://doi.org/10.4064/fm240111-9-10
Primary Topic
Advanced Algebra and Logic
Type
article
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On an extension of the Nöbeling rational universal space

Mirosława Reńska, Roman Pol, Elżbieta Pol
Fundamenta Mathematicae
Advanced Algebra and Logic
article

On an extension of the Nöbeling rational universal space

Mirosława Reńska, Roman Pol, Elżbieta Pol
article en

Abstract

A subspace $X$ of the Hilbert cube $I^{\mathbb N}$ is rational if $X = G \cup S$, where $\dim G = 0$ and $S$ is countable. Nöbeling (1934) proved that this class has a universal element, the Nöbeling space $V = \mathbb P^{\mathbb N} \cup \mathbb Q_f^{\mat

Fundamenta MathematicaeVol. 268(2)
Warsaw University of Technology (PL), Institute of Mathematics (PL), University of Warsaw (PL)
Sustainable cities and communities
Openalex Percentile: Top 75%
Advanced Algebra and Logic
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