Topologically invariant \(\sigma\)-ideals on the Hilbert cube

DOI10.1007/s11856-015-1235-zzbMath1343.03038arXiv1302.5658OpenAlexW2272076571MaRDI QIDQ891182

Michał Morayne, Szymon Żeberski, Robert Rałowski, Taras Banakh

Publication date: 16 November 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5658

zbMATH Keywords

idealHilbert cube\(\sigma\)-idealmeager setZ-setminimal Cantor settame \(G_\delta\)-set

Mathematics Subject Classification ID

Descriptive set theory (03E15) Dimension theory in general topology (54F45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Cardinal characteristics of the continuum (03E17) Topology of infinite-dimensional manifolds (57N20)

Related Items (2)

Dimension theory and forcing ⋮ Classifying invariant $\sigma $-ideals with analytic base on good Cantor measure spaces

Cites Work

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• \(G_{\delta }\) ideals of compact sets
• The space of infinite-dimensional compacta and other topological copies of \((l_ f^ 2)^ \omega\)
• On universality of countable and weak products of sigma hereditarily disconnected spaces
• Universal meager $F_\sigma$-sets in locally compact manifolds
• Combinatorial Cardinal Characteristics of the Continuum
• The Cichoń diagram
• A Characterization of the Least Cardinal for which the Baire Category Theorem Fails
• Topologically invariant σ-ideals on Euclidean spaces
• Characterization of Finite-Dimensional Z-Sets

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