Selections and weak orderability

Michael Hrušák, and Iván Martínez-Ruiz. "Selections and weak orderability." Fundamenta Mathematicae 203.1 (2009): 1-20. <http://eudml.org/doc/282885>.

@article{MichaelHrušák2009,
abstract = {We answer a question of van Mill and Wattel by showing that there is a separable locally compact space which admits a continuous weak selection but is not weakly orderable. Furthermore, we show that a separable space which admits a continuous weak selection can be covered by two weakly orderable spaces. Finally, we give a partial answer to a question of Gutev and Nogura by showing that a separable space which admits a continuous weak selection admits a continuous selection for all finite sets.},
author = {Michael Hrušák, Iván Martínez-Ruiz},
journal = {Fundamenta Mathematicae},
keywords = {Vietoris hyperspace; continuous selection; weak selection; weakly orderable; random graph},
language = {eng},
number = {1},
pages = {1-20},
title = {Selections and weak orderability},
url = {http://eudml.org/doc/282885},
volume = {203},
year = {2009},
}

TY - JOUR
AU - Michael Hrušák
AU - Iván Martínez-Ruiz
TI - Selections and weak orderability
JO - Fundamenta Mathematicae
PY - 2009
VL - 203
IS - 1
SP - 1
EP - 20
AB - We answer a question of van Mill and Wattel by showing that there is a separable locally compact space which admits a continuous weak selection but is not weakly orderable. Furthermore, we show that a separable space which admits a continuous weak selection can be covered by two weakly orderable spaces. Finally, we give a partial answer to a question of Gutev and Nogura by showing that a separable space which admits a continuous weak selection admits a continuous selection for all finite sets.
LA - eng
KW - Vietoris hyperspace; continuous selection; weak selection; weakly orderable; random graph
UR - http://eudml.org/doc/282885
ER -