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

Jerzy Krzempek. "Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua." Colloquium Mathematicae 120.2 (2010): 201-222. <http://eudml.org/doc/283652>.

@article{JerzyKrzempek2010,
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.},
author = {Jerzy Krzempek},
journal = {Colloquium Mathematicae},
keywords = {fully closed map; ring-like map; non-coinciding dimensions; Cook continuum; Anderson-Choquet continuum; hereditarily indecomposable; chainable continuum},
language = {eng},
number = {2},
pages = {201-222},
title = {Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua},
url = {http://eudml.org/doc/283652},
volume = {120},
year = {2010},
}

TY - JOUR
AU - Jerzy Krzempek
TI - Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 2
SP - 201
EP - 222
AB - 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.
LA - eng
KW - fully closed map; ring-like map; non-coinciding dimensions; Cook continuum; Anderson-Choquet continuum; hereditarily indecomposable; chainable continuum
UR - http://eudml.org/doc/283652
ER -