Finite spaces and the universal bundle of a group
Witbooi, Peter
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997), p. 791-799 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1997-01-01
Classification:  54B15,  54B17,  55R35,  55R40,  55R65 
@article{118973,
     author = {Peter Witbooi},
     title = {Finite spaces and the universal bundle of a group},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {38},
     year = {1997},
     pages = {791-799},
     zbl = {0938.55024},
     mrnumber = {1603722},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118973}
}

Witbooi, Peter. Finite spaces and the universal bundle of a group. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 791-799. http://gdmltest.u-ga.fr/item/118973/

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