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.
Recommended Citation
J. J. Charatonik and W. J. Charatonik, "Monotone-open Mappings of Rational Continua," Boletin De La Sociedad Matematica Mexicana, Springer Verlag, Jan 1997.
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.
Publication Date
01 Jan 1997
