On 2-ramification points of a dendroid
Jerry F. Williams (1972)
Colloquium Mathematicae
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Jerry F. Williams (1972)
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].
T. Maćkowiak (1973)
Fundamenta Mathematicae
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Janusz Charatonik (1984)
Fundamenta Mathematicae
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Gordh, G. R., Jr.
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T. Maćkowiak (1975)
Fundamenta Mathematicae
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T. Maćkowiak (1977)
Fundamenta Mathematicae
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Charatonik, Janusz J., Illanes, Alejandro (2004)
International Journal of Mathematics and Mathematical Sciences
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J. Chartonik (1980)
Fundamenta Mathematicae
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Jo Heath, Van C. Nall (2006)
Fundamenta Mathematicae
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A bottleneck in a dendroid is a continuum that intersects every arc connecting two non-empty open sets. Piotr Minc proved that every dendroid contains a point, which we call a center, contained in arbitrarily small bottlenecks. We study the effect that the set of centers in a dendroid has on its structure. We find that the set of centers is arc connected, that a dendroid with only one center has uncountably many arc components in the complement of the center, and that, in this case,...