Large cardinals and projective sets

Archive for Mathematical Logic 36 (2):137-155 (1997)
  Copy   BIBTEX

Abstract

We investigate measure and category in the projective hierarchie in the presence of large cardinals. Assuming a measurable larger than $n$ Woodin cardinals we construct a model where every $\Delta ^1_{n+4}$ -set is measurable, but some $\Delta ^1_{n+4}$ -set does not have Baire property. Moreover, from the same assumption plus a precipitous ideal on $\omega _1$ we show how a model can be forced where every $\Sigma ^1_{n+4}-$ set is measurable and has Baire property

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,164

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

Ramsey-like cardinals.Victoria Gitman - 2011 - Journal of Symbolic Logic 76 (2):519 - 540.
Gap forcing: Generalizing the lévy-Solovay theorem.Joel David Hamkins - 1999 - Bulletin of Symbolic Logic 5 (2):264-272.
On measurable limits of compact cardinals.Arthur W. Apter - 1999 - Journal of Symbolic Logic 64 (4):1675-1688.
Projective Well-orderings of the Reals.Andrés Eduardo Caicedo & Ralf Schindler - 2006 - Archive for Mathematical Logic 45 (7):783-793.
On the indestructibility aspects of identity crisis.Grigor Sargsyan - 2009 - Archive for Mathematical Logic 48 (6):493-513.
Abstract logic and set theory. II. large cardinals.Jouko Väänänen - 1982 - Journal of Symbolic Logic 47 (2):335-346.
On the structure of Δ 1 4 -sets of reals.Haim Judah & Otmar Spinas - 1995 - Archive for Mathematical Logic 34 (5):301-312.

Analytics

Added to PP
2013-11-23

Downloads
15 (#884,991)

6 months
2 (#1,114,623)

Historical graph of downloads
How can I increase my downloads?

References found in this work

No references found.

Add more references