A pseudocompact Tychonoff space all countable subsets of which are closed and \(C^*\)-embedded
From MaRDI portal
Publication:1071339
DOI10.1016/0166-8641(86)90004-0zbMath0586.54020OpenAlexW2086170614MaRDI QIDQ1071339
Publication date: 1986
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0166-8641(86)90004-0
pseudocompact Tikhonov spaceaxioms beyond ZFCcardinality of subsetsdiagonal of mappingpseudocompact connected left-separated Tikhonov space
Compactness (54D30) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Embedding (54C25) (C)- and (C^*)-embedding (54C45)
Related Items (31)
Extension of functions defined on products of pseudocompact spaces and continuity of the inverse in pseudocompact groups ⋮ Small diagonal of \(X\) and calibers of \(C_{p}(X)\) ⋮ Algebraic objects generated by topological structure ⋮ Embeddings into (a)-spaces and acc spaces ⋮ On a theorem of Grothendieck in \(C_ p\)-theory ⋮ A pseudocompact space with Kelley's property has a strictly positive measure ⋮ \(\kappa\)-Fréchet Urysohn property of \(C_{k}(X)\) ⋮ Weak pseudocompactness on spaces of continuous functions ⋮ Baire property of some function spaces ⋮ Baire property of spaces of \([0, 1\)-valued continuous functions] ⋮ All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and \(C^\ast \)-embedded ⋮ Classes of Baire spaces defined by topological games ⋮ Closed discrete selections for sequences of open sets in function spaces ⋮ Eberlein theorem and norm continuity of pointwise continuous mappings into function spaces ⋮ Some applications of exponentially separable spaces ⋮ The selectively pseudocompact-open topology on \(C(X)\) ⋮ The projective Menger property and an embedding of \(S_{\omega}\) into function spaces ⋮ Normality and dense subspaces ⋮ Selective sequential pseudocompactness ⋮ The general concept of cleavability of a topological space ⋮ One more topological equivalent of CH ⋮ Two properties of \(C_{p}(x)\) weaker than the Fréchet Urysohn property ⋮ Calibers, \(\omega\)-continuous maps and function spaces ⋮ Open discrete shrinkings in function spaces ⋮ Functions on products of pseudocompact spaces ⋮ Pseudocompactness and Ultrafilters ⋮ Some results on separate and joint continuity ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory ⋮ Coincidence of the upper Kuratowski topology with the co-compact topology on compact sets, and the Prohorov property ⋮ Relative separation properties
Cites Work
This page was built for publication: A pseudocompact Tychonoff space all countable subsets of which are closed and \(C^*\)-embedded