A surjective characterization of Dugundji spaces-Reference-Cited by-同舟云学术

A surjective characterization of Dugundji spaces

Published:1979 Issue:1 Volume:76 Page:151-156
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hoffmann Burkhard

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1979-076-01/S0002-9939-1979-0534408-X/S0002-9939-1979-0534408-X.pdf

Reference8 articles.

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4. On a problem of Pełczyński: Milutin spaces, Dugundji spaces and AE(0-dim);Haydon, Richard;Studia Math.,1974

5. Selected Selection Theorems;Michael, E.;Amer. Math. Monthly,1956

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