The existence of a connected meager in itself $\mathsf {CDH}$ space is independent of $\mathsf {ZFC}$

DOI10.1090/proc/13434zbMath1402.54028OpenAlexW2526062856MaRDI QIDQ4609850

Jan van Mill, Michael Hrušák

Publication date: 26 March 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13434

zbMATH Keywords

Hilbert cubemeagerconnected\(Z\)-setcountable dense homogeneous\(\varepsilon\)-homeomorphism

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Baire category, Baire spaces (54E52) Connected and locally connected spaces (general aspects) (54D05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Consistency and independence results in general topology (54A35)

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Cites Work

• Small opaque sets.
• Countable dense homogeneity and the Baire property
• Countable dense homogeneity and λ-sets
• Estimated extension theorem, homogeneous collections and skeletons and their applications to topological classification of linear metric spaces and convex sets
• Countable dense homogeneous spaces
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