Dimensions of irreducible continua and fixations of components in compact spaces

A. Lelek; D. Zaremba

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Displaying similar documents to “Dimensions of irreducible continua and fixations of components in compact spaces”

The dimension of hyperspaces of non-metrizable continua

Wojciech Stadnicki (2012)

Colloquium Mathematicae

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We prove that, for any Hausdorff continuum X, if dim X ≥ 2 then the hyperspace C(X) of subcontinua of X is not a C-space; if dim X = 1 and X is hereditarily indecomposable then either dim C(X) = 2 or C(X) is not a C-space. This generalizes some results known for metric continua.