On the non-existence of certain group topologies

• Autorzy: Christian Rosendal
• Języki publikacji: EN

Abstrakty

EN

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 ℝ cannot be a Polish group either.

Kategorie tematyczne

• 03E15: Descriptive set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 187
• Numer: 3
• Strony: 213-228

Daty

wydano

2005

Twórcy

autor

Christian Rosendal

• Mathematics 253-37, California Institute of Technology, Pasadena, CA 91125, U.S.A.
• Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street (MC-382), Urbana, IL 61801-2975, U.S.A.

Identyfikatory

DOI

10.4064/fm187-3-2