Between countably compact and \(\omega\)-bounded

DOI10.1016/j.topol.2015.09.020zbMath1333.54013arXiv1406.7805OpenAlexW1811610553MaRDI QIDQ890069

Lajos Soukup, István Juhász, Zoltán Szentmiklóssy

Publication date: 9 November 2015

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

Full work available at URL: https://arxiv.org/abs/1406.7805

zbMATH Keywords

compactcountably compactseparablenowhere dense\(\omega\)-bounded\(P\)-boundedsecond countablesmall uncountable cardinals \(\mathfrak b\) and \(\mathfrak t\)totally countably compact

Mathematics Subject Classification ID

Compactness (54D30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Separability of topological spaces (54D65)

Related Items (3)

On \(\kappa \)-bounded and \(M\)-compact reflections of topological spaces ⋮ Variations on countable tightness ⋮ Embedding topological spaces into Hausdorff \(\kappa\)-bounded spaces

Cites Work

• Sixteen topological types in beta omega-omega
• HFD and HFC type spaces, with applications
• How to force a countably tight, initially \(\omega_ 1\)-compact and noncompact space?
• Variations on \(\omega\)-boundedness
• \(\mathcal D\)-forced spaces: A new approach to resolvability
• Weak P-Points in Cech-Stone Compactifications
• Combinatorics of dense subsets of the rationals
• Remote Filters and Discretely Generated Spaces
• Some Examples in Topology
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