Inverse Limits of Continua Having Trivial Shape

Author

Wlodzimierz J. Charatonik, Missouri University of Science and TechnologyFollow
Robert Paul Roe, Missouri University of Science and TechnologyFollow

Abstract

We show that trivial shape is preserved under inverse limits of continua with multivalued bonding functions provided the images of points have trivial shape. Some examples are provided. © 2012 University of Houston.

Recommended Citation

W. J. Charatonik and R. P. Roe, "Inverse Limits of Continua Having Trivial Shape," Houston Journal of Mathematics, vol. 38, no. 4, pp. 1307 - 1312, University of Houston, Dec 2012.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Cell-like map; Inverse limit; Set-valued functions; Trivial shape

International Standard Serial Number (ISSN)

0362-1588

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 University of Houston, All rights reserved.

Publication Date

01 Dec 2012