An example in the theory of approximate systems
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 575-581.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

An approximate inverse sequence of plane continua is constructed which negatively answers a question of S. Marde\v si'c related to approximate and usual inverse systems. The example also shows that an important result of M.G. Charalambous cannot be improved. As an application, it is shown that a procedure of making an approximate inverse sequence commutative (``taming'') is discontinuous.
Classification : 54B25, 54B35
Keywords: inverse systems; (gauged) approximate systems; inverse limits; (gauged) approximate resolutions; compact metric spaces
@article{CMUC_1993__34_3_a19,
     author = {Ugle\v{s}i\'c, N.},
     title = {An example in the theory of approximate systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {575--581},
     publisher = {mathdoc},
     volume = {34},
     number = {3},
     year = {1993},
     mrnumber = {1243089},
     zbl = {0785.54017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a19/}
}
TY  - JOUR
AU  - Uglešić, N.
TI  - An example in the theory of approximate systems
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1993
SP  - 575
EP  - 581
VL  - 34
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a19/
LA  - en
ID  - CMUC_1993__34_3_a19
ER  - 
%0 Journal Article
%A Uglešić, N.
%T An example in the theory of approximate systems
%J Commentationes Mathematicae Universitatis Carolinae
%D 1993
%P 575-581
%V 34
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a19/
%G en
%F CMUC_1993__34_3_a19
Uglešić, N. An example in the theory of approximate systems. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 575-581. http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a19/