The dimension of hyperspaces of non-metrizable continua
General Topology
2012-09-18 v1 Logic
Abstract
We prove that, for any Hausdorff continuum X, if dim X > 1 then the hyperspace C(X) of subcontinua of X is not a C-space; if dim X = 1 and X is hereditarily indecomposable then dim C(X) = 2 or C(X) is not a C-space. This generalizes results known for metric continua.
Keywords
Cite
@article{arxiv.1209.3443,
title = {The dimension of hyperspaces of non-metrizable continua},
author = {Wojciech Stadnicki},
journal= {arXiv preprint arXiv:1209.3443},
year = {2012}
}
Comments
6 pages, to be published in Colloquium Mathematicum