Supercompactness within the Projective Hierarchy

Journal of Symbolic Logic 66 (2):658-672 (2001)
  Copy   BIBTEX

Abstract

We show that all the projective ordinals $\delta^1_n$ are supercompact through their supremum $\aleph_{\varepsilon 0}$, and a ways beyond.

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 103,667

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Projective prewellorderings vs projective wellfounded relations.Xianghui Shi - 2009 - Journal of Symbolic Logic 74 (2):579-596.
The weak square property.Steve Jackson - 2001 - Journal of Symbolic Logic 66 (2):640-657.
Canonical measure assignments.Steve Jackson & Benedikt Löwe - 2013 - Journal of Symbolic Logic 78 (2):403-424.
On projective ordinals.Alexander S. Kechris - 1974 - Journal of Symbolic Logic 39 (2):269-282.
Cardinalities in the projective hierarchy.Greg Hjorth - 2002 - Journal of Symbolic Logic 67 (4):1351-1372.
Countable functionals and the projective hierarchy.Dag Normann - 1981 - Journal of Symbolic Logic 46 (2):209-215.
Determinateness in the Low Projective Hierarchy.Harvey M. Friedman - 1974 - Journal of Symbolic Logic 39 (3):599-599.

Analytics

Added to PP
2009-01-28

Downloads
35 (#699,661)

6 months
11 (#299,272)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

An inner model theoretic proof of Becker’s theorem.Grigor Sargsyan - 2019 - Archive for Mathematical Logic 58 (7-8):999-1003.

Add more citations

References found in this work

On the determinacy of games on ordinals.L. A. Harrington - 1981 - Annals of Mathematical Logic 20 (2):109.

Add more references