A metamathematical condition equivalent to the existence of a complete left invariant metric for a Polish group
Thompson, Alex
J. Symbolic Logic, Tome 71 (2006) no. 1, p. 1108-1124 / Harvested from Project Euclid
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Strengthening a theorem of Hjorth this paper gives a new characterization of which Polish groups admit compatible complete left invariant metrics. As a corollary it is proved that any Polish group without a complete left invariant metric has a continuous action on a Polish space whose associated orbit equivalence relation is not essentially countable.
Publié le : 2006-12-14
Classification:  
@article{1164060447,
     author = {Thompson, Alex},
     title = {A metamathematical condition equivalent to the existence of a complete left invariant metric for a Polish group},
     journal = {J. Symbolic Logic},
     volume = {71},
     number = {1},
     year = {2006},
     pages = { 1108-1124},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1164060447}
}

Thompson, Alex. A metamathematical condition equivalent to the existence of a complete left invariant metric for a Polish group. J. Symbolic Logic, Tome 71 (2006) no. 1, pp.  1108-1124. http://gdmltest.u-ga.fr/item/1164060447/