Abstract

For continua X and Y it is shown that if the projection f : X x Y ->X has its induced mapping C(f) open, then X is C*-smooth. As a corollary, a characterization of dendrites in these terms is obtained.

Department(s)

Mathematics and Statistics

Keywords and Phrases

C*-Smooth; Continuum; Induced Mapping; Open

Library of Congress Subject Headings

Dendrites
Projection

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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