On the measurability of orbits in Borel actions
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- by Douglas E. Miller PDF
- Proc. Amer. Math. Soc. 63 (1977), 165-170 Request permission
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.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 165-170
- MSC: Primary 54H15; Secondary 22A05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0440519-8
- MathSciNet review: 0440519