On coverings of almost Dedekind domains
Štefan Porubský (1976)
Czechoslovak Mathematical Journal
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Displaying similar documents to “The covering property for σ-ideals of compact, sets”
On coverings of almost Dedekind domains
Small sets in convex geometry and formal independence over ZFC.
Kojman, Menachem (2005)
Abstract and Applied Analysis
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Keeping the covering number of the null ideal small
Teruyuki Yorioka (2015)
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It is proved that ideal-based forcings with the side condition method of Todorcevic (1984) add no random reals. By applying Judah-Repický's preservation theorem, it is consistent with the covering number of the null ideal being ℵ₁ that there are no S-spaces, every poset of uniform density ℵ₁ adds ℵ₁ Cohen reals, there are only five cofinal types of directed posets of size ℵ₁, and so on. This extends the previous work of Zapletal (2004).
Small sets with respect to certain classes of topologies
A. Kharazishvili (1994)
Colloquium Mathematicae
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On covering systems on rings
Štefan Porubský (1978)
Mathematica Slovaca
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-ideals and -gaps in the Boolean algebras Ρ(ω)/I.
Krzysztof Mazur (1991)
Fundamenta Mathematicae
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Strong covering without squares
Saharon Shelah (2000)
Fundamenta Mathematicae
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Let W be an inner model of ZFC. Let κ be a cardinal in V. We say that κ-covering holds between V and W iff for all X ∈ V with X ⊆ ON and V ⊨ |X| < κ, there exists Y ∈ W such that X ⊆ Y ⊆ ON and V ⊨ |Y| < κ. Strong κ-covering holds between V and W iff for every structure M ∈ V for some countable first-order language whose underlying set is some ordinal λ, and every X ∈ V with X ⊆ λ and V ⊨ |X| < κ, there is Y ∈ W such that X ⊆ Y ≺ M and V ⊨ |Y| < κ. We prove that if κ is...