Sequentially Compact, Franklin-Rajagopalan Spaces

DOI10.2307/2046567zbMath0626.54004OpenAlexW4231840628MaRDI QIDQ3029772

Jerry E. Vaughan, Peter J. Nyikos

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046567

zbMATH Keywords

countable compactnessultrafilterRudin-Keisler orderP-pointsT-pointsFranklin-Rajagopalan space\(MA+not\)-CH\(+\diamond (c,\omega _ 1\)-limits)initially m-chain compact spacessequentially compact FR-spacetotally initially m-compact spaces

Mathematics Subject Classification ID

Compactness (54D30) Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10) Consistency and independence results in general topology (54A35)

Related Items (10)

Sequentially linearly Lindelöf spaces ⋮ Countably compact hyperspaces and Frolík sums ⋮ Ultrafilter convergence in ordered topological spaces ⋮ Efimov's problem and Boolean algebras ⋮ Special ultrafilters and cofinal subsets of \(({}^\omega \omega, <^*)\) ⋮ P-filters and Cohen, random, and Laver forcing ⋮ Some remarks on Doitchinov completeness ⋮ The Scarborough-Stone problem for Hausdorff spaces ⋮ Subsets of \({}^ \omega\omega\) and the Fréchet-Urysohn and \(\alpha_ i\)-properties ⋮ On first countable, countably compact spaces. II: Remainders in a van Douwen construction and P-ideals

Cites Work

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• The Product of Two Normal Initially κ-Compact Spaces
• Products of Perfectly Normal, Sequentially Compact Spaces
• Products of Sequentially Compact Spaces and The V-Process
• A Technique for Constructing Examples
• Products of Nearly Compact Spaces
• A new kind of compactness for topological spaces
• Products of M-Compact Spaces
• Some Examples in Topology

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