On topological types of the simplest indecomposable continua
W. Dębski (1985)
Colloquium Mathematicae
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W. Dębski (1985)
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.
S. Drobot (1971)
Applicationes Mathematicae
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Hatch, Jonathan, Stanojević, Č.V. (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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Dorothy S. Marsh (1980)
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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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.
P. Spyrou (1992)
Matematički Vesnik
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J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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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.
Eiichi Matsuhashi (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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We characterize Peano continua using Bing-Krasinkiewicz-Lelek maps. Also we deal with some topics on Whitney preserving maps.
Mirosław Sobolewski (1984)
Fundamenta Mathematicae
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J. Krasinkiewicz (1974)
Colloquium Mathematicae
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