Geodesic
The dimension of hyperspaces of non-metrizable continua
Wojciech Stadnicki1
1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50–384 Wrocław, Poland
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 $\dim X \geq 2$ 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.
DOI : 10.4064/cm128-1-9
Keywords: 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

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