Displaying similar documents to “Multiplicative extension operators and locally connected continua”

Topological conditions for bound-2 isomorphisms of C(X)

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).

A characterization of dendroids by the n-connectedness of the Whitney levels

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).