On Borel maps, calibrated ${\ensuremath {\sigma }}$-ideals, and homogeneity

DOI10.1090/tran/7462OpenAlexW2963822317MaRDI QIDQ4691098

Roman Pol, Piotr Zakrzewski

Publication date: 18 October 2018

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

Full work available at URL: https://arxiv.org/abs/1706.04773

zbMATH Keywords

Borel measureinfinite dimension\(\sigma\)-idealBorel mappingmeager 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) Hausdorff and packing measures (28A78)

Related Items (1)

On Mazurkiewicz's sets, thin \(\sigma\)-ideals of compact sets and the space of probability measures on the rationals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Boolean algebras related to \(\sigma\)-ideals generated by compact sets
• On Borel mappings and \(\sigma\)-ideals generated by closed sets
• Note on Borel mappings and dimension
• Dimension theory and forcing
• Four and more
• Forcing, games and families of closed sets
• Canonical Ramsey Theory on Polish Spaces
• Forcing Properties of Ideals of Closed Sets
• The Structure of σ-Ideals of Compact Sets
• Covering analytic sets by families of closed set
• Descriptive set theory and definable forcing
• Homeomorphic Measures in Metric Spaces
• Cantor Sets in Metric Measure Spaces
• On extending homeomorphisms on zero-dimensional spaces

This page was built for publication: On Borel maps, calibrated ${\ensuremath {\sigma }}$-ideals, and homogeneity