An example in the theory of approximate systems
Commentationes Mathematicae Universitatis Carolinae (1993)
- Volume: 34, Issue: 3, page 575-581
- ISSN: 0010-2628
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topUglešić, Nikica. "An example in the theory of approximate systems." Commentationes Mathematicae Universitatis Carolinae 34.3 (1993): 575-581. <http://eudml.org/doc/247465>.
@article{Uglešić1993,
abstract = {An approximate inverse sequence of plane continua is constructed which negatively answers a question of S. Mardeši’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.},
author = {Uglešić, Nikica},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {inverse systems; (gauged) approximate systems; inverse limits; (gauged) approximate resolutions; compact metric spaces; approximate inverse systems; plane continua},
language = {eng},
number = {3},
pages = {575-581},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An example in the theory of approximate systems},
url = {http://eudml.org/doc/247465},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Uglešić, Nikica
TI - An example in the theory of approximate systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 3
SP - 575
EP - 581
AB - An approximate inverse sequence of plane continua is constructed which negatively answers a question of S. Mardeši’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.
LA - eng
KW - inverse systems; (gauged) approximate systems; inverse limits; (gauged) approximate resolutions; compact metric spaces; approximate inverse systems; plane continua
UR - http://eudml.org/doc/247465
ER -
References
top- Charalambous M.G., Approximate inverse systems of uniform spaces and an application of inverse systems, Comment. Math. Univ. Carolinae 32 (1991), 551-565. (1991) Zbl0785.54016MR1159801
- Mardešić S., On approximate inverse systems and resolutions, to appear in Fund. Math. MR1220551
- Mardešić S., Rubin L.R., Approximate inverse systems of compacta and covering dimension, Pacific J. Math. 138 (1989), 129-144. (1989) MR0992178
- Mardešić S., Segal J., Stability of almost commutative inverse systems of compacta, Topology of Appl. 31 (1989), 285-299. (1989) MR0997496
- Mardešić S., Watanabe T., Approximate resolutions of spaces and mappings, Glasnik Mat. 24 (44) (1989), 587-637. (1989) MR1080085
- Matijević V., Uglešić N., A new approach to the theory of approximate resolutions, to appear.
- Uglešić N., Isomorphisms in the category of approximate systems, to appear in Glasnik Mat. MR1283899
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