Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua
arXiv:0805.2087 · 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 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 examples of continua have non-coinciding dimensions.
20 pages. Minor changes, corrected typos. This IS NOT the final version of the paper. The final version appeared in Colloquium Mathematicum