Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua

Details Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua

2008-05-14

arxiv.org/abs/0805.2087v4

Colloq. Math. 120 (2010), 201-222

Mathematics

General Topology

20 pages. Minor changes, corrected typos. This IS NOT the final version of the paper. The final version appeared in Colloquium

Scientific paper

10.4064/cm120-2-3

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.

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