Displaying similar documents to “A note on open mappings of irreducible continua”

The set functions 𝓣 and 𝒦 and irreducible continua

Leobardo Fernández, Sergio Macías (2010)

Colloquium Mathematicae

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We study the set functions 𝓣 and 𝒦 on irreducible continua. We present several properties of these functions when defined on irreducible continua. In particular, we characterize the class of irreducible continua for which these functions are continuous. We also characterize the class of 𝒦-symmetric irreducible continua.

Concerning the sum of two continua each irreducible between the same pair of points

John Kline (1925)

Fundamenta Mathematicae

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The first part of the paper answers the question whether two different continua, each irreducible between the same pair of points could have a sum irreducible between two of its points. The second part shows certain properties of continua irreducible between the same pair of points and having the above mentioned property with respect to their sum.

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...

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...