On spaces in which countably compact sets are closed, and hereditary properties

DOI10.1016/0166-8641(80)90027-9zbMath0434.54018OpenAlexW2027821024MaRDI QIDQ1139828

S. H. Smith

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0166-8641(80)90027-9

zbMATH Keywords

tightnessMartin's axiomq-spaceFrechet-Urysohn spacecountably compact subsethereditarily quasi-k Hausdorff space

Mathematics Subject Classification ID

Sequential spaces (54D55) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) (k)-spaces (54D50)

Related Items (18)

Hereditary normality of \(\gamma\mathbb{N}\)-spaces ⋮ Countable compactness, hereditary \(\pi\)-character, and the continuum hypothesis ⋮ Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets ⋮ The topology of elementary submodels ⋮ On Compact Hausdorff Spaces of Countable Tightness ⋮ CH and the Moore-Mrowka problem ⋮ S-spaces and large continuum ⋮ Countable \(\pi\)-character, countable compactness and PFA ⋮ Unnamed Item ⋮ Countable small rank and cardinal invariants. II ⋮ Countable tightness and proper forcing ⋮ Compact {C}-closed spaces need not be sequential ⋮ On the consistency of the Moore-Mrówka solution ⋮ Hereditary normality versus countable tightness in countably compact spaces ⋮ On a core concept of Arhangel'skiĭ ⋮ The three space problem in topological groups ⋮ On Rančin's problem ⋮ Suitable sets for subgroups of direct sums of discrete groups

Cites Work

• Point-Countability and Compactness
• On Countably Compact, Perfectly Normal Spaces
• Countably Compact Spaces and Martin's Axiom
• ON SOME TOPOLOGICAL SPACES THAT OCCUR IN FUNCTIONAL ANALYSIS
• A note on a theorem of arhangel'skiǐ
• Bi-quotient maps, countably bi-sequential spaces and related topics
• Spaces in which sequences suffice
• A characterization of very $k$-spaces
• Spaces in which sequences suffice II
• Quotient and bi-quotient spaces of $M$-spaces
• Mappings and $M$-spaces
• Some Examples in Topology
• A Device Of R. J. Whitley's Applied to Pointwise Compactness in Spaces of Continuous Functions
• A quintuple quotient quest
• On hereditary properties
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