Published December 1988
| Published
Journal Article
Open
Ordinal Rankings on Measures Annihilating Thin Sets
- Creators
-
Kechris, Alexander S.
- Lyons, Russell
Abstract
We assign a countable ordinal number to each probability measure which annihilates all H-sets. The descriptive-set theoretic structure of this assignment allows us to show that this class of measures is coanalytic non-Borel. In addition, it allows us to quantify the failure of Rajchman's conjecture. Similar results are obtained for measures annihilating Dirichlet sets.
Additional Information
© 1988 American Mathematical Society. Received by the editors September 10, 1987. Research of the first author partially supported by NSF grant DMS8718847. The second author was partially supported by an NSF Postdoctoral Fellowship.Attached Files
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Additional details
- Eprint ID
- 38636
- Resolver ID
- CaltechAUTHORS:20130522-131009335
- DMS8718847
- NSF
- NSF Postdoctoral Fellowship
- Created
-
2013-05-22Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Other Numbering System Name
- MathSciNet Review
- Other Numbering System Identifier
- MR0951888