Displaying similar documents to “On the structure of tranches in continuously 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.

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...