On countably compact, locally countable spaces

DOI10.1007/BF02025892zbMath0418.54009OpenAlexW2048791855MaRDI QIDQ1131748

S. H. Smith

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf02025892

zbMATH Keywords

Martin's axiomcardinalities of countably compact locally countable T3 spaces

Mathematics Subject Classification ID

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

Related Items (12)

Countably compact hyperspaces and Frolík sums ⋮ Sequentially Compact, Franklin-Rajagopalan Spaces ⋮ Almost compatible functions and infinite length games ⋮ The cardinality of countably compact Hausdorff spaces ⋮ More countably compact, locally countable spaces ⋮ Locally compact, \( \omega_1\)-compact spaces ⋮ Open problems in topology. ⋮ The Scarborough-Stone problem for Hausdorff spaces ⋮ A technique for constructing honest locally compact submetrizable examples ⋮ INFINITE COMBINATORICS PLAIN AND SIMPLE ⋮ On first countable, countably compact spaces. II: Remainders in a van Douwen construction and P-ideals ⋮ ON -HOMOGENEOUS, BUT NOT -TRANSITIVE PERMUTATION GROUPS

Cites Work

• Aspects of constructibility
• Martin's axiom and normality
• On some weakly compact spaces and their products
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