A groupoid formulation of the Baire Category Theorem

Jonathan Brown, and Lisa Orloff Clark. "A groupoid formulation of the Baire Category Theorem." Fundamenta Mathematicae 226.2 (2014): 123-130. <http://eudml.org/doc/282741>.

@article{JonathanBrown2014,
abstract = {We prove that the Baire Category Theorem is equivalent to the following: Let G be a topological groupoid such that the unit space is a complete metric space, and there is a countable cover of G by neighbourhood bisections. If G is effective, then G is topologically principal.},
author = {Jonathan Brown, Lisa Orloff Clark},
journal = {Fundamenta Mathematicae},
keywords = {Baire category theorem; topologically principal groupoid; effective groupoid; principle of dependent choice},
language = {eng},
number = {2},
pages = {123-130},
title = {A groupoid formulation of the Baire Category Theorem},
url = {http://eudml.org/doc/282741},
volume = {226},
year = {2014},
}

TY - JOUR
AU - Jonathan Brown
AU - Lisa Orloff Clark
TI - A groupoid formulation of the Baire Category Theorem
JO - Fundamenta Mathematicae
PY - 2014
VL - 226
IS - 2
SP - 123
EP - 130
AB - We prove that the Baire Category Theorem is equivalent to the following: Let G be a topological groupoid such that the unit space is a complete metric space, and there is a countable cover of G by neighbourhood bisections. If G is effective, then G is topologically principal.
LA - eng
KW - Baire category theorem; topologically principal groupoid; effective groupoid; principle of dependent choice
UR - http://eudml.org/doc/282741
ER -