Dyadicity index and metrizability of compact continuous images of function spaces

DOI10.1016/j.topol.2004.09.010zbMath1078.54008OpenAlexW1998187272MaRDI QIDQ1779242

Vladimir V. Tkachuk, Mikhail G. Tkachenko

Publication date: 1 June 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.09.010

zbMATH Keywords

metrizability\(\kappa\)-monolithic spacedense subspaces of productsdense subspaces of topological groupsdyadicity indexfactorizations theoremsstrongly \(\kappa\)-cosmic space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Metric spaces, metrizability (54E35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10)

Related Items (3)

A selection of recent results and problems in \(C_{p}\)-theory ⋮ Reflecting properties in continuous images of small weight ⋮ Lindelöf \(\Sigma\)-spaces: an omnipresent class

Cites Work

• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• Factorization theorems for topological groups and their applications
• Continuous images of function spaces
• Compact spaces representable as unions of nice subspaces
• Unions of chains in dyadic compact spaces and topological groups
• ON $ \kappa$-METRIZABLE SPACE
• MAPS ONTO TIKHONOV CUBES
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