Title

Monotone-open Mappings of Rational Continua

Abstract

It is proved that each monotone-open nonconstant mapping defined on a rational continuum is a homeomorphism. As a consequence it follows that each rational continuum which is homogeneous with respect to monotone-open mappings is a simple closed curve.

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuum; homogeneous; mapping; monotone; open; rational

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1997 Springer Verlag, All rights reserved.

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