Geodesic
Fully closed maps and non-metrizable higher-dimensional Anderson–Choquet continua
Jerzy Krzempek1
1 Institute of Mathematics Silesian University of Technology Kaszubska 23 44-100 Gliwice, Poland
Colloquium Mathematicum, Tome 120 (2010) no. 2, pp. 201-222 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/cm120-2-3
Keywords: fedorchuks fully closed continuous maps resolutions applied constructions non metrizable higher dimensional analogues anderson choquet cooks rigid continua certain theorems dimension lowering maps proved inductive dimensions fully closed maps spaces hereditarily normal examples continua construct have non coinciding dimensions

Jerzy Krzempek 1

1 Institute of Mathematics Silesian University of Technology Kaszubska 23 44-100 Gliwice, Poland 
@article{10_4064_cm120_2_3,
     author = {Jerzy Krzempek},
     title = {Fully closed maps and non-metrizable
 higher-dimensional {Anderson{\textendash}Choquet} continua},
     journal = {Colloquium Mathematicum},
     pages = {201--222},
     year = {2010},
     volume = {120},
     number = {2},
     doi = {10.4064/cm120-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm120-2-3/}
}
TY  - JOUR
AU  - Jerzy Krzempek
TI  - Fully closed maps and non-metrizable
 higher-dimensional Anderson–Choquet continua
JO  - Colloquium Mathematicum
PY  - 2010
SP  - 201
EP  - 222
VL  - 120
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm120-2-3/
DO  - 10.4064/cm120-2-3
LA  - en
ID  - 10_4064_cm120_2_3
ER  - 
%0 Journal Article
%A Jerzy Krzempek
%T Fully closed maps and non-metrizable
 higher-dimensional Anderson–Choquet continua
%J Colloquium Mathematicum
%D 2010
%P 201-222
%V 120
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm120-2-3/
%R 10.4064/cm120-2-3
%G en
%F 10_4064_cm120_2_3
Jerzy Krzempek. Fully closed maps and non-metrizable
 higher-dimensional Anderson–Choquet continua. Colloquium Mathematicum, Tome 120 (2010) no. 2, pp. 201-222. doi: 10.4064/cm120-2-3

Cité par Sources :