Kechris, Alexander S. (1991) Boundedness theorems for dilators and ptykes. Annals of Pure and Applied Logic, 52 (1-2). pp. 79-92. ISSN 0168-0072. doi:10.1016/0168-0072(91)90040-S. https://resolver.caltech.edu/CaltechAUTHORS:20130517-103738099
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Abstract
The main theorem of this paper is: If ƒ is a partial function from ℵ_1 to ℵ_1 which is ∑^1_1-bounded, then there is a weakly finite primitive recursive dilator D such that for all infinite α ϵ dom(ƒ), ƒ(α) ⩽ D(α). The proof involves only elementary combinatorial constructions of trees. A generalization to ptykes is also given.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1991 Elsevier Science Publishers B. V. Communicated by D. van Dalen. Received 15 June 1989. Research partially supported by NSF Grant. | |||||||||
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| Issue or Number: | 1-2 | |||||||||
| DOI: | 10.1016/0168-0072(91)90040-S | |||||||||
| Record Number: | CaltechAUTHORS:20130517-103738099 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130517-103738099 | |||||||||
| Official Citation: | Alexander S. Kechris, Boundedness theorems for dilators and ptykes, Annals of Pure and Applied Logic, Volume 52, Issues 1–2, 15 April 1991, Pages 79-92, ISSN 0168-0072, 10.1016/0168-0072(91)90040-S. (http://www.sciencedirect.com/science/article/pii/016800729190040S) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 38556 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 22 May 2013 16:26 | |||||||||
| Last Modified: | 09 Nov 2021 23:38 |
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