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- W2008095079 abstract "Mathematical Logic QuarterlyVolume 31, Issue 7-8 p. 97-108 Article On the Existence and Recursion Theoretic Properties of ∑-Generic Sets of Reals Galen Weitkamp, Galen Weitkamp Department of Mathematics Western Illinois University Macomb, Illinois 61455 (U.S.A.) Search for more papers by this author Galen Weitkamp, Galen Weitkamp Department of Mathematics Western Illinois University Macomb, Illinois 61455 (U.S.A.) Search for more papers by this author First published: 1985 https://doi.org/10.1002/malq.19850310702 A few of the result here may be found in my thesis [9] and I would like to thank Dr. SIMPSON. my advisor. for his encouragement and guidance. I would also like to thank Dr. INGRASSIA for his patient ear and animated discussions. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References 1 Barwise, J., Admissible Sets and Structures: An Approach to Definability Theory. Perspectives in Mathematical Logic, Springer-Verlag, Berlin–Heidelber–New York 1975. 2 Hrbacek, K., Degrees of analytic sets. This Zeitschrift 29 (1983), 75–82. 3 Hrbacek, K., and S. Simpson, On Kleene degrees of analytic sets. In: The Kleene Symposium ( Barwise, Keisler and Kunen, eds.), North-Holland Publ. Comp., Amsterdam 1980, pp. 347–352. 4 Mansfield, R., Perfect subsets of definable sets of real numbers. Pacific J. of Mathematics 35 (1970), 451–457. 5 Moschovakis, Y., Descripive Set Theory. Studies in Logic and the Foundations of Mathematics, Vol. 100, North-Holland Publ. Comp., Amsterdam 1980. 6 Sacks, G., Countable admissible ordinals and hyperdegrees. Advances in Mathematics 19 (1976), 213–262. 7 Simpson, S., and C. Weitkamp, Analytic sets with neither high nor low Kleene degree. J. Symbolic Logic 48 (1983), 356–368. 8 Weitkamp, G., Analytic sets having incomparable Kleene degrees. J. Symbolic Logic 47 (1982), 860–868. 9 Weitkamp, G., Kleene Recursion over the Continuum. PhD Thesis, Pennsylvania State University 1980. Volume31, Issue7-81985Pages 97-108 ReferencesRelatedInformation" @default.
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