A first countable, initially \(\omega _1\)-compact but non-compact space

DOI10.1016/j.topol.2009.04.004zbMath1168.54003OpenAlexW2055315183MaRDI QIDQ1030193

Lajos Soukup, Piotr Koszmider, István Juhász

Publication date: 1 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.004

zbMATH Keywords

forcingCHlocally compact\(\Delta\)-functioninitially \(\omega_1\)-compact

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Consistency and independence results in general topology (54A35)

Related Items (7)

On constructions with 2-cardinals ⋮ On the cardinality of separable pseudoradial spaces ⋮ Efimov's problem and Boolean algebras ⋮ Generalized side-conditions and Moore-Mrówka ⋮ Asymmetric tie-points and almost clopen subsets of $\mathbb {N}^*$ ⋮ Compact spaces with a P-base ⋮ PFA and \(\omega_1\)-free compact spaces

Cites Work

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• Remarks on superatomic Boolean algebras
• How to force a countably tight, initially \(\omega_ 1\)-compact and noncompact space?
• Walks on ordinals and their characteristics
• Simplified morasses
• Countable tightness and proper forcing
• Forcing minimal extensions of Boolean algebras
• An 𝜔₂-minimal Boolean algebra

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