Polish groups and Baire category methods
Confluentes Mathematici, Tome 8 (2016) no. 1, pp. 89-164.

This article is a slightly modified version of the author’s habilitation thesis, presenting his work on topics related to Polish groups, Baire category methods and metric model theory. Nearly all results presented are not new, though some arguments are. Among new results, we show that, for any countably infinite group Γ, all conjugacy classes in the space of actions of Γ on the Urysohn space are meager; and that the group of bounded isometries of the Urysohn space, endowed with the topology of uniform convergence, is path-connected.

Reçu le : 2014-01-12
Révisé le : 2015-09-14
Accepté le : 2016-08-02
Publié le : 2016-09-28
DOI : https://doi.org/10.5802/cml.28
Classification : 22A05,  54E52,  22F50,  54H20,  03E15
Mots clés: Polish groups, automorphism groups, Baire category, topological dynamics, minimal homeomorphisms
@article{CML_2016__8_1_89_0,
     author = {Julien Melleray},
     title = {Polish groups and Baire category methods},
     journal = {Confluentes Mathematici},
     publisher = {Institut Camille Jordan},
     volume = {8},
     number = {1},
     year = {2016},
     pages = {89-164},
     doi = {10.5802/cml.28},
     language = {en},
     url = {cml.centre-mersenne.org/item/CML_2016__8_1_89_0/}
}
Melleray, Julien. Polish groups and Baire category methods. Confluentes Mathematici, Tome 8 (2016) no. 1, pp. 89-164. doi : 10.5802/cml.28. https://cml.centre-mersenne.org/item/CML_2016__8_1_89_0/

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