On the category of the set of cut points of continua of a certain type
(1951)
Czechoslovak Mathematical Journal
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(1951)
Czechoslovak Mathematical Journal
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J. Krasinkiewicz (1974)
Colloquium Mathematicae
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J. Krasinkiewicz (1974)
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.
Donald E. Bennett (1978)
Commentationes Mathematicae Universitatis Carolinae
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S. Drobot (1971)
Applicationes Mathematicae
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P. Spyrou (1992)
Matematički Vesnik
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J. Brown, G. Cox (1984)
Fundamenta Mathematicae
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L. Mohler (1973)
Colloquium 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. ...
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].