Induced Near-Homeomorphisms

Abstract

We construct examples of mappings f and g between locally connected continua such that 2f and C(f) are near-homeomorphisms while f is not, and 2g is a near-homeomorphism, while g and C(g) are not. Similar examples for refinable mappings are constructed.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Cell-Like; Continuum; Induced Mapping; Monotone; Near-Homeomorphism; Refinable; Dendrites; Hyperspace

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2000 Charles University, All rights reserved.

Publication Date

01 Jan 2000

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