The dimension of hyperspaces of non-metrizable continua

Wojciech Stadnicki. "The dimension of hyperspaces of non-metrizable continua." Colloquium Mathematicae 128.1 (2012): 101-107. <http://eudml.org/doc/283872>.

@article{WojciechStadnicki2012,
abstract = {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.},
author = {Wojciech Stadnicki},
journal = {Colloquium Mathematicae},
keywords = {continuum; hyperspace; dimension; -space; elementary submodel; Wallman space},
language = {eng},
number = {1},
pages = {101-107},
title = {The dimension of hyperspaces of non-metrizable continua},
url = {http://eudml.org/doc/283872},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Wojciech Stadnicki
TI - The dimension of hyperspaces of non-metrizable continua
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 1
SP - 101
EP - 107
AB - 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.
LA - eng
KW - continuum; hyperspace; dimension; -space; elementary submodel; Wallman space
UR - http://eudml.org/doc/283872
ER -