Finite spaces and the universal bundle of a group
Commentationes Mathematicae Universitatis Carolinae (1997)
- Volume: 38, Issue: 4, page 791-799
- ISSN: 0010-2628
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topWitbooi, Peter. "Finite spaces and the universal bundle of a group." Commentationes Mathematicae Universitatis Carolinae 38.4 (1997): 791-799. <http://eudml.org/doc/248115>.
@article{Witbooi1997,
abstract = {We find sufficient conditions for a cotriad of which the objects are locally trivial fibrations, in order that the push-out be a locally trivial fibration. As an application, the universal $G$-bundle of a finite group $G$, and the classifying space is modeled by locally finite spaces. In particular, if $G$ is finite, then the universal $G$-bundle is the limit of an ascending chain of finite spaces. The bundle projection is a covering projection.},
author = {Witbooi, Peter},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {covering projection; fibration; finite space; push-out; covering projection fibration; finite space; push out; universal -bundle},
language = {eng},
number = {4},
pages = {791-799},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Finite spaces and the universal bundle of a group},
url = {http://eudml.org/doc/248115},
volume = {38},
year = {1997},
}
TY - JOUR
AU - Witbooi, Peter
TI - Finite spaces and the universal bundle of a group
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 4
SP - 791
EP - 799
AB - We find sufficient conditions for a cotriad of which the objects are locally trivial fibrations, in order that the push-out be a locally trivial fibration. As an application, the universal $G$-bundle of a finite group $G$, and the classifying space is modeled by locally finite spaces. In particular, if $G$ is finite, then the universal $G$-bundle is the limit of an ascending chain of finite spaces. The bundle projection is a covering projection.
LA - eng
KW - covering projection; fibration; finite space; push-out; covering projection fibration; finite space; push out; universal -bundle
UR - http://eudml.org/doc/248115
ER -
References
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