A pseudocompact space in which only the sets of incomplete cardinality are not closed and not discrete

zbMath0725.54018MaRDI QIDQ2276791

Evgenii A. Reznichenko

Publication date: 1989

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Compactness (54D30) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

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Embeddings into (a)-spaces and acc spaces ⋮ Properties related to star countability and star finiteness ⋮ All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and \(C^\ast \)-embedded ⋮ A broader context for monotonically monolithic spaces ⋮ Classes of Baire spaces defined by topological games ⋮ On the extension of functions from countable subspaces ⋮ One more topological equivalent of CH ⋮ Weakly complete free topological groups ⋮ Star-covering properties: generalized \(\Psi \)-spaces, countability conditions, reflection ⋮ On Dense Subspaces Satisfying Stronger Separation Axioms ⋮ Calibers, \(\omega\)-continuous maps and function spaces

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