Displaying similar documents to “On filling an irreducible continuum with the Cartesian product of 1-dimensional continua”

Absolute end points of irreducible continua

Janusz Jerzy Charatonik (1993)

Mathematica Bohemica

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A concept of an absolute end point introduced and studied by Ira Rosenholtz for arc-like continua is extended in the paper to be applied arbitrary irreducible continua. Some interrelations are studied between end points, absolute end points and points at which a given irreducible continuum is smooth.

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.