Images of arcs - a nonseparable version of the Hahn-Mazurkiewicz theorem
Jacek Nikiel (1988)
Fundamenta Mathematicae
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Jacek Nikiel (1988)
Fundamenta Mathematicae
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Janusz Charatonik (1962)
Fundamenta Mathematicae
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E. Tymchatyn (1978)
Fundamenta Mathematicae
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Sam Nadler (1980)
Fundamenta Mathematicae
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J. Krasinkiewicz, Piotr Minc (1979)
Fundamenta Mathematicae
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Sam Nadler (1973)
Fundamenta Mathematicae
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J. Krasinkiewicz, Piotr Minc (1979)
Fundamenta Mathematicae
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Philip Bacon (1970)
Fundamenta Mathematicae
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Alejandro Illanes (2011)
Publications de l'Institut Mathématique
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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).
Charatonik, Janusz J., Illanes, Alejandro (2002)
Mathematica Pannonica
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Katsuya Eda, Umed H. Karimov, Dušan Repovš (2007)
Fundamenta Mathematicae
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Using the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point and continuous maps, and ending in the subcategory of all simply connected spaces. If one starts from a noncontractible n-dimensional Peano continuum for any n > 0, then our construction yields a simply connected noncontractible (n + 1)-dimensional cell-like Peano continuum. In particular, starting from the...