On a class of indecomposable continua
J. Krasinkiewicz (1974)
Colloquium Mathematicae
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J. Krasinkiewicz (1974)
Colloquium Mathematicae
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Jerzy Krzempek (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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It is shown that a certain indecomposable chainable continuum is the domain of an exactly two-to-one continuous map. This answers a question of Jo W. Heath.
L. Mohler (1973)
Colloquium Mathematicae
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Roman Mańka (2002)
Fundamenta Mathematicae
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It is proved that the cylinder X × I over a λ-dendroid X has the fixed point property. The proof uses results of [9] and [10].
P. Spyrou (1992)
Matematički Vesnik
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M. Proffitt (1971)
Fundamenta Mathematicae
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Donald E. Bennett (1978)
Commentationes Mathematicae Universitatis Carolinae
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J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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S. Drobot (1971)
Applicationes Mathematicae
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D. Daniel, C. Islas, R. Leonel, E. D. Tymchatyn (2015)
Colloquium Mathematicae
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We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum X contains a proper, non-degenerate subcontinuum which does not separate X.
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.
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. ...
T. Maćkowiak (1977)
Fundamenta Mathematicae
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Davis, H.S., Stadtlander, D.P., Swingle, P.M. (1962)
Portugaliae mathematica
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