Displaying similar documents to “On filling an irreducible continuum with chainable 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.

Irreducibility of inverse limits on intervals

David Ryden (2000)

Fundamenta Mathematicae

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A procedure for obtaining points of irreducibility for an inverse limit on intervals is developed. In connection with this, the following are included. A semiatriodic continuum is defined to be a continuum that contains no triod with interior. Characterizations of semiatriodic and unicoherent continua are given, as well as necessary and sufficient conditions for a subcontinuum of a semiatriodic and unicoherent continuum M to lie within the interior of a proper subcontinuum of M. ...