Title

Induced MO-mappings

Abstract

A mapping I: X -+ Y between continua X and Y is called an MO-mapping provided that it can be represented as the composition of two mappings, II : X -+ Z and I2 : Z -+ Y. such that II is open and I2 is monotone. Induced MO-mappings, 21 and C(f), between hyperspaces are studied. In particular an example is con-structed of an open mapping I : [0.1] ---+ [0.1 j for which C(fJ is not an MO-mapping. This answers two questions asked by H. Hoso-kawa.

Department(s)

Mathematics and Statistics

Keywords and Phrases

hyperspace; induced mapping; monotone; MO-mapping; open

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1999 University of Tsukuba, All rights reserved.

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