How to force a countably tight, initially \(\omega_ 1\)-compact and noncompact space?

DOI10.1016/0166-8641(95)00102-6zbMath0853.54006arXivmath/9505203OpenAlexW2089327400MaRDI QIDQ1916455

István Juhász, Lajos Soukup

Publication date: 9 January 1997

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9505203

zbMATH Keywords

forcingcountable tightnesscompact scattered spaceFréchet-Urysoninitially \(\kappa\)-compact

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (5)

Between countably compact and \(\omega\)-bounded ⋮ On cellular-compact spaces ⋮ Morasses and finite support iterations ⋮ Thin-very tall compact scattered spaces which are hereditarily separable ⋮ A first countable, initially \(\omega _1\)-compact but non-compact space

Cites Work

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• Remarks on superatomic Boolean algebras
• Set theory. An introduction to independence proofs
• Omitting the cardinality of the continuum in scattered spaces
• Height and Width of Superatomic Boolean Algebras
• Countable tightness and proper forcing
• Martin's Axiom
• An 𝜔₂-minimal Boolean algebra

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