Some properties of open and related mappings

T. Maćkowiak; E. D. Tymchatyn

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Displaying similar documents to “Some properties of open and related mappings”

On generalized homogeneity of locally connected plane continua

Janusz Jerzy Charatonik (1991)

Commentationes Mathematicae Universitatis Carolinae

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The well-known result of S. Mazurkiewicz that the simple closed curve is the only nondegenerate locally connected plane homogeneous continuum is extended to generalized homogeneity with respect to some other classes of mappings. Several open problems in the area are posed.

Dendrites and monotone mappings.

Charatonik, J.J. (2004)

Mathematica Pannonica

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On monotone mappings of continua

William J. Gray (1972)

Colloquium Mathematicae

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On cohesive mappings

Zaremba, D.

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Component restriction property for classes of mappings.

Charatonik, Janusz J. (2003)

Mathematica Pannonica

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Monotone homogeneity of dendrites

Janusz Jerzy Charatonik, Włodzimierz J. Charatonik (1997)

Commentationes Mathematicae Universitatis Carolinae

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Sufficient as well as necessary conditions are studied for a dendrite or a dendroid to be homogeneous with respect to monotone mappings. The obtained results extend ones due to H. Kato and the first named author. A number of open problems are asked.