DOMINATION CONDITIONS UNDER WHICH A COMPACT SPACE IS METRISABLE

DOI10.1017/S0004972714001130zbMath1320.54019MaRDI QIDQ5253351

David Guerrero Sánchez, Alan Dow

Publication date: 5 June 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

compact spacesmall diagonal\(\mathbb P\)-dominated space

Mathematics Subject Classification ID

Compactness (54D30) Metric spaces, metrizability (54E35) Product spaces in general topology (54B10) Continuum hypothesis and Martin's axiom (03E50)

Related Items (4)

Compact spaces with a \(\mathbb{P}\)-diagonal ⋮ Domination by a Polish space of the complement of the diagonal of \(X\) implies that \(X\) is cosmic ⋮ Covering properties of Cp(X) and Ck(X) ⋮ Spaces with an \(M\)-diagonal

Cites Work

• Domination by second countable spaces and Lindelöf \(\Sigma \)-property
• Descriptive topology in selected topics of functional analysis
• Countable compactness, hereditary \(\pi\)-character, and the continuum hypothesis
• On compactness in locally convex spaces
• A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic
• MAPS ONTO TIKHONOV CUBES
• Convergent Free Sequences in Compact Spaces

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