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Spaces of functions in the topology of pointwise convergence: Hewitt extension and \(\tau\)-continuous functions

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Publication:1822081
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zbMath0617.54019MaRDI QIDQ1822081

Oleg G. Okunev

Publication date: 1985

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


zbMATH Keywords

countable compactnesspseudocompactnessmetacompact Tikhonov spaceb(sub f)-spacefunctional tighnessHewitt numbernormal T(sub 1)-space


Mathematics Subject Classification ID

Compactness (54D30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) (k)-spaces (54D50)


Related Items (8)

Function spaces over products with ordinals ⋮ Some topological cardinal inequalities for spaces \(C_p(X)\) ⋮ Linear equivalence of (pseudo) compact spaces ⋮ On homeomorphisms of function spaces over products with compacta ⋮ Some criteria for \(C_p(X)\) to be an \(L\Sigma(\leq\omega)\)-space ⋮ On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology ⋮ Calibers, \(\omega\)-continuous maps and function spaces ⋮ Strongly \(\tau\)-pseudocompact spaces






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