Fully closed maps and non-metrizable higher-dimensional Anderson–Choquet continua
Volume 120 / 2010
Colloquium Mathematicum 120 (2010), 201-222
MSC: 54F15, 54F45.
DOI: 10.4064/cm120-2-3
Abstract
Fedorchuk's fully closed (continuous) maps and resolutions are applied in constructions of non-metrizable higher-dimensional analogues of Anderson, Choquet, and Cook's rigid continua. Certain theorems on dimension-lowering maps are proved for inductive dimensions and fully closed maps from spaces that need not be hereditarily normal, and some of the examples of continua we construct have non-coinciding dimensions.
