On the Covering and the Additivity Number of the Real Line

DOI10.2307/2161151zbMath0823.03026OpenAlexW4256639844MaRDI QIDQ4845860

Kyriakos Keremedis

Publication date: 21 August 1995

Full work available at URL: https://doi.org/10.2307/2161151

zbMATH Keywords

nowhere dense setsdominating numbercovering numberreal linebounding numbermeagre setsadditivity number

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (11)

The Nikodym property and cardinal characteristics of the continuum ⋮ Indestructibility of ideals and MAD families ⋮ WAYS OF DESTRUCTION ⋮ Van Douwen's diagram for dense sets of rationals ⋮ Families of sets related to Rosenthal's lemma ⋮ Ideal weak QN-spaces ⋮ Cardinal invariants associated with Fubini product of ideals ⋮ GENERIC EXISTENCE OF MAD FAMILIES ⋮ Distributivity of the algebra of regular open subsets of \(\beta\mathbb R\setminus \mathbb R\) ⋮ Weak Hausdorff Gaps and the 𝔭 ≤ t Problem ⋮ ON -HOMOGENEOUS, BUT NOT -TRANSITIVE PERMUTATION GROUPS

Cites Work

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• Set theory. An introduction to independence proofs. 2nd print
• Matrix iterations and Cichon's diagram
• Additivity of Measure Implies Additivity of Category
• Combinatorial aspects of measure and category
• Some Properties of Measure and Category
• The Baire category theorem and cardinals of countable cofinality
• The cofinality of cardinal invariants related to measure and category
• On the cofinality of the smallest covering of the real line by meager sets
• Partition reals and the consistency of t > add(R)
• A Characterization of the Least Cardinal for which the Baire Category Theorem Fails

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