Abstract

It is shown that a metric continuum X is a dendrite if and only if for every compact space Y and for every light open mapping f : Y ->f(Y ) such that X c f(Y ) there is a copy X1 of X in Y for which the restriction fjX1 : X1 ->X is a homeomorphism. Another characterization of dendrites in terms of continuous selections of multivalued functions is also obtained.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Continuum; Mapping; Multifunction; Open; Selection

Library of Congress Subject Headings

Dendrites
Light

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2000 American Mathematical Society, All rights reserved.

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