Published June 1991
| public
Journal Article
Hereditary properties of the class of closed sets of uniqueness for trigonometric series
- Creators
- Kechris, Alexander S.
Abstract
It is shown that theσ-ideal U_0 of closed sets of extended uniqueness in T is hereditarily non-Borel, i.e. every "non-trivial" σ-ideal of closed sets I ⊆ U_0 is non-Borel. This implies both the result of Solovay, Kaufman that both U_0 and U(the σ-ideal of closed sets of uniqueness) are not Borel as well as the theorem of Debs-Saint Raymond that every Borel subset of T of extended uniqueness is of the first category. A further extension to ideals contained in U_0 is given.
Additional Information
© 1991 Springer-Verlag. Received October 3, 1989 and in revised form October 9, 1990. Research partially supported by NSF Grant DMS-8718847.Additional details
- Eprint ID
- 38594
- Resolver ID
- CaltechAUTHORS:20130521-093201219
- DMS-8718847
- NSF
- Created
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2013-05-21Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field
- Other Numbering System Name
- MathSciNet Review
- Other Numbering System Identifier
- MR1135211