On the conjecture
Neil Gray (1970)
Fundamenta Mathematicae
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Neil Gray (1970)
Fundamenta Mathematicae
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William D. McIntsh (1968)
Fundamenta Mathematicae
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Benjamin Halpern (1971)
Fundamenta Mathematicae
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A. Kosiński (1959)
Fundamenta Mathematicae
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H. Cohen, C.-H. Chu (1995)
Studia Mathematica
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We establish the topological relationship between compact Hausdorff spaces X and Y equivalent to the existence of a bound-2 isomorphism of the sup norm Banach spaces C(X) and C(Y).
E. Barton (1972)
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).
Shin'ichi Kinoshita (1953)
Fundamenta Mathematicae
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D. W. Curtis (1980)
Compositio Mathematica
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S. Hildebrand, D. Sanderson (1965)
Fundamenta Mathematicae
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