A Characterization of the Least Cardinal for which the Baire Category Theorem Fails

DOI10.2307/2044457zbMath0506.03012OpenAlexW4241360067MaRDI QIDQ4742773

Arnold W. Miller

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044457

zbMATH Keywords

nowhere dense setscovering of the real linecovering-cardinal

Mathematics Subject Classification ID

Descriptive set theory (03E15) Baire category, Baire spaces (54E52) Ordinal and cardinal numbers (03E10)

Related Items (14)

Combinatorics of open covers. I: Ramsey theory ⋮ COMPACT CARDINALS AND EIGHT VALUES IN CICHOŃ’S DIAGRAM ⋮ Topologically invariant \(\sigma\)-ideals on the Hilbert cube ⋮ The least cardinal for which the Baire category theorem fails ⋮ On CON(𝔡_{𝜆}> cov_{𝜆}(meagre)) ⋮ Additivity of Measure Implies Dominating Reals ⋮ On the Covering and the Additivity Number of the Real Line ⋮ Some results about neat reducts ⋮ On the Generic Existence of Special Ultrafilters ⋮ Some Remarks on Category in Topological Spaces ⋮ Variations of selective separability ⋮ Another ordering of the ten cardinal characteristics in Cichoń's diagram ⋮ Cichoń's maximum ⋮ Ultrafilters on 𝜔-their ideals and their cardinal characteristics

Cites Work

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• Set theory. An introduction to independence proofs
• On the consistency of Borel's conjecture
• Iterated perfect-set forcing
• Some Properties of Measure and Category
• The Baire category theorem and cardinals of countable cofinality
• On the existence of P-points in the Stone-Čech compactification of integers
• Families of sets and functions
• More Paracompact Box Products
• On the Property С and A Problem of Hausdorff

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