Geodesic
On the non-existence of certain group topologies
Christian Rosendal1
1 Mathematics 253-37 California Institute of Technology Pasadena, CA 91125, U.S.A. and Department of Mathematics University of Illinois at Urbana-Champaign 1409 W. Green Street (MC-382) Urbana, IL 61801-2975, U.S.A.
Fundamenta Mathematicae, Tome 187 (2005) no. 3, pp. 213-228

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

Minimal Hausdorff (Baire) group topologies of certain groups of transformations naturally occurring in analysis are studied. The results obtained are subsequently applied to show that, e.g., the homeomorphism groups of the rational and of the irrational numbers carry no Polish group topology. In answer to a question of A. S. Kechris it is shown that the group of Borel automorphisms of $\mathbb R$ cannot be a Polish group either.
DOI : 10.4064/fm187-3-2
Mots-clés : minimal hausdorff baire group topologies certain groups transformations naturally occurring analysis studied results obtained subsequently applied homeomorphism groups rational irrational numbers carry polish group topology answer question kechris shown group borel automorphisms mathbb cannot polish group either

Christian Rosendal 1

1 Mathematics 253-37 California Institute of Technology Pasadena, CA 91125, U.S.A. and Department of Mathematics University of Illinois at Urbana-Champaign 1409 W. Green Street (MC-382) Urbana, IL 61801-2975, U.S.A. 
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Christian Rosendal. On the non-existence of certain group topologies. Fundamenta Mathematicae, Tome 187 (2005) no. 3, pp. 213-228. doi: 10.4064/fm187-3-2

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