On finitely equivalent continua.
Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Lex Oversteegen, E. Tymchatyn (1984)
Fundamenta Mathematicae
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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.
J. Krasinkiewicz, Sam Nadler (1978)
Fundamenta Mathematicae
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James Davis, W. Ingram (1988)
Fundamenta Mathematicae
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J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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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. ...
George W. Henderson (1971)
Colloquium Mathematicae
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Mirosław Sobolewski (1984)
Fundamenta Mathematicae
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Sergio Macías, Patricia Pellicer-Covarrubias (2012)
Colloquium Mathematicae
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We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.