On the measurability of orbits in Borel actions-Reference-Cited by-同舟云学术

On the measurability of orbits in Borel actions

Published:1977 Issue:1 Volume:63 Page:165-170
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Miller Douglas E.

Abstract

We replace measure with category in an argument of G. W. Mackey to characterize closed subgroups H of a totally nonmeager, 2nd countable topological group G in terms of the quotient Borel structure G/H. As a corollary, we obtain an improved version of a theorem of C. Ryll-Nardzewski on the Borel measurability of orbits in continuous actions by Polish groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-063-01/S0002-9939-1977-0440519-8/S0002-9939-1977-0440519-8.pdf

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