The dimension of hyperspaces of non-metrizable continua
Colloquium Mathematicum, Tome 128 (2012) no. 1, pp. 101-107.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that, for any Hausdorff continuum X, if dimX2 then the hyperspace C(X) of subcontinua of X is not a C-space; if dimX=1 and X is hereditarily indecomposable then either dimC(X)=2 or C(X) is not a C-space. This generalizes some results known for metric continua.
DOI : 10.4064/cm128-1-9
Mots-clés : prove hausdorff continuum dim geq hyperspace subcontinua c space dim hereditarily indecomposable either dim c space generalizes results known metric continua

Wojciech Stadnicki 1

1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50–384 Wrocław, Poland
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Wojciech Stadnicki. The dimension of hyperspaces of non-metrizable continua. Colloquium Mathematicum, Tome 128 (2012) no. 1, pp. 101-107. doi : 10.4064/cm128-1-9. https://geodesic-test.mathdoc.fr/articles/10.4064/cm128-1-9/

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