Monotone-open Mappings of Rational Continua
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.
J. J. Charatonik and W. J. Charatonik, "Monotone-open Mappings of Rational Continua," Boletin De La Sociedad Matematica Mexicana, Springer Verlag, Jan 1997.
Mathematics and Statistics
Keywords and Phrases
continuum; homogeneous; mapping; monotone; open; rational
Article - Journal
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