Selections and weak orderability
Fundamenta Mathematicae, Tome 203 (2009) no. 1, pp. 1-20
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
answer question van mill wattel showing there separable locally compact space which admits continuous weak selection weakly orderable furthermore separable space which admits continuous weak selection covered weakly orderable spaces finally partial answer question gutev nogura showing separable space which admits continuous weak selection admits continuous selection finite sets
Affiliations des auteurs :
Michael Hrušák 1 ; Iván Martínez-Ruiz 1
@article{10_4064_fm203_1_1,
author = {Michael Hru\v{s}\'ak and Iv\'an Mart{\'\i}nez-Ruiz},
title = {Selections and weak orderability},
journal = {Fundamenta Mathematicae},
pages = {1--20},
publisher = {mathdoc},
volume = {203},
number = {1},
year = {2009},
doi = {10.4064/fm203-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm203-1-1/}
}
Michael Hrušák; Iván Martínez-Ruiz. Selections and weak orderability. Fundamenta Mathematicae, Tome 203 (2009) no. 1, pp. 1-20. doi: 10.4064/fm203-1-1
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