Weak orderability of second countable spaces

Valentin Gutev

Fundamenta Mathematicae (2007)

  • Volume: 196, Issue: 3, page 275-287
  • ISSN: 0016-2736

Abstract

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We demonstrate that a second countable space is weakly orderable if and only if it has a continuous weak selection. This provides a partial positive answer to a question of van Mill and Wattel.

How to cite

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Valentin Gutev. "Weak orderability of second countable spaces." Fundamenta Mathematicae 196.3 (2007): 275-287. <http://eudml.org/doc/282826>.

@article{ValentinGutev2007,
abstract = {We demonstrate that a second countable space is weakly orderable if and only if it has a continuous weak selection. This provides a partial positive answer to a question of van Mill and Wattel.},
author = {Valentin Gutev},
journal = {Fundamenta Mathematicae},
keywords = {continuous selection; weakly orderable spaces},
language = {eng},
number = {3},
pages = {275-287},
title = {Weak orderability of second countable spaces},
url = {http://eudml.org/doc/282826},
volume = {196},
year = {2007},
}

TY - JOUR
AU - Valentin Gutev
TI - Weak orderability of second countable spaces
JO - Fundamenta Mathematicae
PY - 2007
VL - 196
IS - 3
SP - 275
EP - 287
AB - We demonstrate that a second countable space is weakly orderable if and only if it has a continuous weak selection. This provides a partial positive answer to a question of van Mill and Wattel.
LA - eng
KW - continuous selection; weakly orderable spaces
UR - http://eudml.org/doc/282826
ER -

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