Displaying similar documents to “Continua determined by mappings.”

Atomicity of mappings.

Charatonik, Janusz J., Charatonik, Włodzimierz J. (1998)

International Journal of Mathematics and Mathematical Sciences

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Continuous mappings on continua

T. Maćkowiak

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CONTENTS1. Introduction........................................................................................................ 52. Preliminaries. Special kinds of continua............................................................. 63. Classes of mappings.............................................................................................. 124. Generated classes of mappings.......................................................................... 155. General properties of...

Absolutely terminal continua and confluent mappings

Janusz Jerzy Charatonik (1991)

Commentationes Mathematicae Universitatis Carolinae

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Interrelations between three concepts of terminal continua and their behaviour, when the underlying continuum is confluently mapped, are studied.

Atomic mappings and extremal continua.

Janusz J. Charatonik (1992)

Extracta Mathematicae

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The notion of atomic mappings was introduced by R. D. Anderson in [1] to describe special decompositions of continua. Soon, atomic mappings turned out to be important tools in continuum theory. In particular, it can be seen in [2] and [5] that these maps are very helpful to construct some special, singular continua. Thus, the mappings have proved to be interesting by themselves, and several of their properties have been discovered, e.g. in [6], [7] and [9]. The reader is referred to...