Book contents
- Frontmatter
- Contents
- Preface
- Original Numbering
- PART III WADGE DEGREES AND POINTCLASSES
- PART IV PROJECTIVE ORDINALS
- Projective ordinals. Introduction to Part IV.
- Homogeneous trees and projective scales
- AD and projective ordinals
- A Δ13 coding of the subsets of ωω
- AD and the projective ordinals
- Projective sets and cardinal numbers: some questions related to the continuum problem
- Regular cardinals without the weak partition property
- Bibliography
- References
AD and projective ordinals
from PART IV - PROJECTIVE ORDINALS
Published online by Cambridge University Press: 05 December 2011
Book contents
- Frontmatter
- Contents
- Preface
- Original Numbering
- PART III WADGE DEGREES AND POINTCLASSES
- PART IV PROJECTIVE ORDINALS
- Projective ordinals. Introduction to Part IV.
- Homogeneous trees and projective scales
- AD and projective ordinals
- A Δ13 coding of the subsets of ωω
- AD and the projective ordinals
- Projective sets and cardinal numbers: some questions related to the continuum problem
- Regular cardinals without the weak partition property
- Bibliography
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Wadge Degrees and Projective Ordinals , pp. 304 - 345Publisher: Cambridge University PressPrint publication year: 2011
References
and [AM68] Some consequences of the axiom of definable determinateness, Proceedings of the National Academy of Sciences of the United States of America, no. 59, 1968, pp. 708–712.CrossRefGoogle ScholarPubMed
[Kec74] On projective ordinals, The Journal of Symbolic Logic, vol. 39 (1974), pp. 269–282.CrossRefGoogle Scholar
and [Cabal i] Cabal seminar
76–77, Lecture Notes in Mathematics, no. 689, Berlin, Springer, 1978.CrossRefGoogle Scholar
[Kle70] Strong partition properties for infinite cardinals, The Journal of Symbolic Logic, vol. 35 (1970), pp. 410–428.CrossRefGoogle Scholar
[Kun71C] A remark on Moschovakis' uniformization theorem, circulated note, March 1971.Google Scholar
[Man71] A Souslin operation on, Israel Journal of Mathematics, vol. 9 (1971), no. 3, pp. 367–379.CrossRefGoogle Scholar
[Mar68] The axiom of determinateness and reduction principles in the analytical hierarchy, Bulletin of the American Mathematical Society, vol. 74 (1968), pp. 687–689.CrossRefGoogle Scholar
[Mar71A] Determinateness implies many cardinals are measurable, circulated note, May 1971.Google Scholar
[Mar71B] Projective sets and cardinal numbers: some questions related to the continuum problem, this volume, originally a preprint, 1971.Google Scholar
and [MS69] A basis theorem for sets of reals, Annals of Mathematics, vol. 89 (1969), pp. 138–160.CrossRefGoogle Scholar
[Mos70] Determinacy and prewellorderings of the continuum, Mathematical logic and foundations of set theory. Proceedings of an international colloquium held under the auspices of the Israel Academy of Sciences and Humanities, Jerusalem, 11–14 November 1968 (, editor), Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam-London, 1970, pp. 24–62.Google Scholar
[Mos71] Uniformization in a playful universe, Bulletin of the American Mathematical Society, vol. 77 (1971), pp. 731–736.CrossRefGoogle Scholar
[Sho61] The problem of predicativity, Essays on the foundations of mathematics (, , , and , editors), Magnes Press, Jerusalem, 1961, pp. 132–139.Google Scholar
[Sol67A] Measurable cardinals and the axiom of determinateness, lecture notes prepared in connection with the Summer Institute of Axiomatic Set Theory held at UCLA, Summer 1967.Google Scholar
[Sol78A] A Δ⅓ coding of the subsets of ωω
, this volume, originally published in Kechris and Moschovakis [Cabal i], pp. 133–150.Google Scholar
- 3
- Cited by