Hereditarily σ-connected continua
J. Grispolakis, E. D. Tymchatyn (1979)
Colloquium Mathematicae
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J. Grispolakis, E. D. Tymchatyn (1979)
Colloquium Mathematicae
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Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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S. Drobot (1971)
Applicationes Mathematicae
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Mirosława Reńska (2011)
Colloquium Mathematicae
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We show that a metrizable continuum X is locally connected if and only if every partition in the cylinder over X between the bottom and the top of the cylinder contains a connected partition between these sets. J. Krasinkiewicz asked whether for every metrizable continuum X there exists a partiton L between the top and the bottom of the cylinder X × I such that L is a hereditarily indecomposable continuum. We answer this question in the negative. We also present a...
P. Spyrou (1992)
Matematički Vesnik
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Roman Mańka (1987)
Colloquium Mathematicae
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E. Tymchatyn (1975)
Fundamenta Mathematicae
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T. Maćkowiak (1977)
Fundamenta 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.
Janusz Charatonik (1984)
Fundamenta 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.
Janusz Charatonik (1964)
Fundamenta Mathematicae
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Lončar, Ivan (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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T. Maćkowiak (1974)
Fundamenta Mathematicae
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G. Gordh (1972)
Fundamenta Mathematicae
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