Kechris, Alexander S. and Louveau, Alain (1990) Covering theorems for uniqueness and extended uniqueness sets. Colloquium Mathematicum, 59 (1). pp. 63-79. ISSN 0010-1354. https://resolver.caltech.edu/CaltechAUTHORS:20130612-084032401
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Abstract
A covering theorem for a class of sets C asserts that every set in C can be covered by a countable union of sets in some (somehow simpler) class C. In the theory of sets of uniqueness on the unit circle T the first result of this kind is Piatetski-Shapiro's theorem in [PS], which states that every closed set of uniqueness can be covered by countably many closed sets in the class U'_1, consisting of those closed sets E ⊆ T for which there exists a sequence of functions in A(T), vanishing on E, which converges to the function 1 in the weak^*-topology.
| Item Type: | Article | ||||||
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| Additional Information: | © 1990 Polish Academy of Sciences. Reçu par la Redaction le 20.12.1988. Research partially supported by NSF Grant. | ||||||
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| Issue or Number: | 1 | ||||||
| Record Number: | CaltechAUTHORS:20130612-084032401 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130612-084032401 | ||||||
| Official Citation: | Covering theorems for uniqueness and extended uniqueness sets Alexander S. Kechris, Alain Louveau Colloq. Math. 59 (1990), 63-79 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 38901 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Ruth Sustaita | ||||||
| Deposited On: | 12 Jun 2013 16:07 | ||||||
| Last Modified: | 03 Oct 2019 05:01 |
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