Weak selections and flows in networks
Valentin Gutev; Tsugunori Nogura
Commentationes Mathematicae Universitatis Carolinae (2008)
- Volume: 49, Issue: 3, page 509-517
- ISSN: 0010-2628
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topGutev, Valentin, and Nogura, Tsugunori. "Weak selections and flows in networks." Commentationes Mathematicae Universitatis Carolinae 49.3 (2008): 509-517. <http://eudml.org/doc/250480>.
@article{Gutev2008,
abstract = {We demonstrate that every Vietoris continuous selection for the hyperspace of at most 3-point subsets implies the existence of a continuous selection for the hyperspace of at most 4-point subsets. However, in general, we do not know if such ``extensions'' are possible for hyperspaces of sets of other cardinalities. In particular, we do not know if the hyperspace of at most 3-point subsets has a continuous selection provided the hyperspace of at most 2-point subsets has a continuous selection.},
author = {Gutev, Valentin, Nogura, Tsugunori},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {hyperspace topology; Vietoris topology; continuous selection; flow; network; hyperspace topology; Vietoris topology; continuous selection; flow; network},
language = {eng},
number = {3},
pages = {509-517},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Weak selections and flows in networks},
url = {http://eudml.org/doc/250480},
volume = {49},
year = {2008},
}
TY - JOUR
AU - Gutev, Valentin
AU - Nogura, Tsugunori
TI - Weak selections and flows in networks
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 3
SP - 509
EP - 517
AB - We demonstrate that every Vietoris continuous selection for the hyperspace of at most 3-point subsets implies the existence of a continuous selection for the hyperspace of at most 4-point subsets. However, in general, we do not know if such ``extensions'' are possible for hyperspaces of sets of other cardinalities. In particular, we do not know if the hyperspace of at most 3-point subsets has a continuous selection provided the hyperspace of at most 2-point subsets has a continuous selection.
LA - eng
KW - hyperspace topology; Vietoris topology; continuous selection; flow; network; hyperspace topology; Vietoris topology; continuous selection; flow; network
UR - http://eudml.org/doc/250480
ER -
References
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