On infinite-dimensional σ-homogeneous spaces

We prove that there is a continuum that is not the union of countably many homogeneous G δ σ -sets. We also make some remarks about coverings by strongly locally homogeneous subspaces.

Authors

Jan van Mill
Roman Pol (ORCID: https://orcid.org/0000-0003-0668-8005)

Institutions

University of Warsaw (PL)
University of Amsterdam (NL)

Publication Details

Journal: Topology and its Applications
Published: 2025-01-09
DOI: https://doi.org/10.1016/j.topol.2025.109205
Primary Topic: Advanced Topology and Set Theory
Type: article
Field-Weighted Citation Impact: 0.00

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article

On infinite-dimensional σ-homogeneous spaces

Jan van Mill, Roman Pol

Jan 9, 2025

Topology and its Applications

Advanced Topology and Set Theory

article

On infinite-dimensional σ-homogeneous spaces

Jan van Mill, Roman Pol

January 9, 2025article en

Abstract

We prove that there is a continuum that is not the union of countably many homogeneous G δ σ -sets. We also make some remarks about coverings by strongly locally homogeneous subspaces.

Topology and its ApplicationsVol. 362

University of Warsaw (PL), University of Amsterdam (NL)

Openalex Percentile: Top 98%

Advanced Topology and Set Theory

DOI Open Access PDF OpenAlex

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On infinite-dimensional σ-homogeneous spaces — Jan van Mill, Roman Pol · Topology and its Applications (2025) | TGRS Research Map | TGRS