A Surjective Characterization of Dugundji Spaces

DOI10.2307/2042935zbMath0432.54016OpenAlexW4256739038MaRDI QIDQ3869989

Burkhard Hoffmann

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042935

zbMATH Keywords

Dugundji spaceTychonoff cuberegular averaging operatorMilutin spaceregular extension operatorcontinuous image of some generalized Cantor setzero- dimensional lifting property

Mathematics Subject Classification ID

Compactness (54D30) Algebraic properties of function spaces in general topology (54C40) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

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Cites Work

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• Selected Selection Theorems
• On a problem of Pełczyński: Milutin spaces, Dugundji spaces and AE(0-dim)
• On absolute retracts, P(S) and complemented subspaces of $C(D^{ω_{1}})$
• Averaging Operators in C(S) and Lower Semicontinuous Sections of Continuous Maps