Continua and their open subsets with connected complements
J. Krasinkiewicz, Piotr Minc (1979)
Fundamenta Mathematicae
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J. Krasinkiewicz, Piotr Minc (1979)
Fundamenta Mathematicae
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E. Tymchatyn (1978)
Fundamenta Mathematicae
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J. Krasinkiewicz, Piotr Minc (1979)
Fundamenta Mathematicae
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P. Swingle (1931)
Fundamenta Mathematicae
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Jack Goodykoontz, Sam Nadler (1984)
Fundamenta Mathematicae
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J. Cornette, J. Girolo (1967)
Fundamenta Mathematicae
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Sam Nadler (1980)
Fundamenta Mathematicae
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Alejandro Illanes (1992)
Fundamenta Mathematicae
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Let X be a continuum. Let C(X) denote the hyperspace of all subcontinua of X. In this paper we prove that the following assertions are equivalent: (a) X is a dendroid, (b) each positive Whitney level in C(X) is 2-connected, and (c) each positive Whitney level in C(X) is ∞-connected (n-connected for each n ≥ 0).
Donald Bennett (1974)
Fundamenta Mathematicae
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Janusz Charatonik (1964)
Fundamenta Mathematicae
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Acosta, Gerardo, Andablo, Gloria G., Krupski, Paweł, Macías, Sergio, Pyrih, Pavel (2002)
Mathematica Pannonica
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