Covering properties which, under weak diamond principles, constrain the extents of separable spaces

DOI10.1007/s10474-010-9210-yzbMath1240.54079OpenAlexW2165594556MaRDI QIDQ625996

Charles J. G. Morgan, Samuel Gomes da Silva

Publication date: 25 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-9210-y

zbMATH Keywords

locally compact spacecountable paracompactnessparametrized weak diamond principle

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Consistency and independence results in general topology (54A35) Local compactness, (sigma)-compactness (54D45) Other set-theoretic hypotheses and axioms (03E65)

Related Items (2)

Scattered spaces from weak diamonds ⋮ \((a)\)-spaces and selectively \((a)\)-spaces from almost disjoint families

Cites Work

• An example concerning the property of a space being Lindelöf in another
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Relative separation properties
• Relative topological properties and relative topological spaces
• Monotone countable paracompactness
• Separation in Countably Paracompact Spaces
• Separation properties in Moore spaces
• From countable compactness to absolute countable compactness
• Parametrized $\diamondsuit $ principles
• Large Cardinals and Topology: a Short Retrospective and Some New Results
• Concerning normal and completely normal spaces
• On Countably Paracompact Spaces
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