The Lindelöf number of \(C_{p}(X) \times C_{p}(X)\) for strongly zero-dimensional \(X\)

DOI10.2478/s11533-011-0050-yzbMath1245.54018OpenAlexW2011396634MaRDI QIDQ657401

Oleg G. Okunev

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0050-y

zbMATH Keywords

topology of pointwise convergenceLindelöf number(strongly) zero-dimensional spaces

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (3)

A metrizable \(X\) with \(C_p(X)\) not homeomorphic to \(C_p(X) \times C_p(X)\) ⋮ Sailing over three problems of Koszmider ⋮ A zero-dimensional not strongly zero-dimensional \(X\) with Lindelöf \(C_p(X)\)

Cites Work

• Unnamed Item
• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• On covering dimension and inverse limits of compact spaces
• On Cleavability of Topological Spaces over R, Rⁿ, and R^ω
• Lindelöf powers and products of function spaces

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