Expansive collections of continua
Donald E. Bennett (1978)
Commentationes Mathematicae Universitatis Carolinae
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Donald E. Bennett (1978)
Commentationes Mathematicae Universitatis Carolinae
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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.
P. Spyrou (1992)
Matematički Vesnik
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Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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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.
T. Maćkowiak (1977)
Fundamenta Mathematicae
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S. Drobot (1971)
Applicationes Mathematicae
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J. Grispolakis, E. D. Tymchatyn (1979)
Colloquium Mathematicae
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L. Mohler (1973)
Colloquium Mathematicae
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George W. Henderson (1971)
Colloquium Mathematicae
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Charatonik, Janusz J., Pyrih, Pavel (2000)
Mathematica Pannonica
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R. Moore (1929)
Fundamenta 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].
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.