A surjective characterization of Dugundji spaces

Author:
Burkhard Hoffmann

Journal:
Proc. Amer. Math. Soc. **76** (1979), 151-156

MSC:
Primary 54C40; Secondary 54C10, 54C55

MathSciNet review:
534408

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Abstract: It is shown that the class of Dugundji spaces coincides with the class of continuous images of the generalized Cantor set by maps satisfying the zero-dimensional lifting property. It follows that each point in a Dugundji space has a neighbourhood base of Dugundji spaces.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1979-0534408-X

Keywords:
Zero-dimensional lifting property,
regular averaging operator,
Dugundji space

Article copyright:
© Copyright 1979
American Mathematical Society