Geodesic
A Polish metric space whose group of isometries induces a universal relation for Polish group actions
Julien Melleray1
1 Univ Lyon, Université Claude Bernard Lyon 1 CNRS UMR 5208, Institut Camille Jordan 43 boulevard du 11 novembre 1918 F-69622 Villeurbanne Cedex, France
Fundamenta Mathematicae, Tome 239 (2017) no. 1, pp. 43-49

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that there exists a Polish metric space $(X,d)$ such that the action of its isometry group on $X$ produces an equivalence relation which is universal for relations induced by a Borel action of a Polish group on a standard Borel space.
DOI : 10.4064/fm341-1-2017
Keywords: there exists polish metric space action its isometry group produces equivalence relation which universal relations induced borel action polish group standard borel space

Julien Melleray 1

1 Univ Lyon, Université Claude Bernard Lyon 1 CNRS UMR 5208, Institut Camille Jordan 43 boulevard du 11 novembre 1918 F-69622 Villeurbanne Cedex, France 
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Julien Melleray. A Polish metric space whose group of isometries induces a universal relation for Polish group actions. Fundamenta Mathematicae, Tome 239 (2017) no. 1, pp. 43-49. doi: 10.4064/fm341-1-2017

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