Inverse Limits of Continua Having Trivial Shape

Editor(s)

Kaiser, Klaus

Abstract

We show that trivial shape is preserved under inverse limits ofcontinua with multivalued bonding functions provided the images of pointshave trivial shape. Some examples are provided.

Department(s)

Mathematics and Statistics

Keywords and Phrases

trivial shape; cell-like map; inverse limit; set-valued functions

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 University of Houston, All rights reserved.

Publication Date

01 Jan 2012

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