The fine structure of real mice

Journal of Symbolic Logic 63 (3):937-994 (1998)
  Copy   BIBTEX

Abstract

Before one can construct scales of minimal complexity in the Real Core Model, K(R), one needs to develop the fine-structure theory of K(R). In this paper, the fine structure theory of mice, first introduced by Dodd and Jensen, is generalized to that of real mice. A relative criterion for mouse iterability is presented together with two theorems concerning the definability of this criterion. The proof of the first theorem requires only fine structure; whereas, the second theorem applies to real mice satisfying AD and follows from a general definability result obtained by abstracting work of John Steel on L(R). In conclusion, we discuss several consequences of the work presented in this paper relevant to two issues: the complexity of scales in K(R) and the strength of the theory ZF + AD + ¬ DC R

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,323

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

Critique of the Papers of Fine and Suppes.Abner Shimony - 1980 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:572 - 580.
A weak Dodd-Jensen lemma.Itay Neeman & John Steel - 1999 - Journal of Symbolic Logic 64 (3):1285-1294.
A minimal counterexample to universal baireness.Kai Hauser - 1999 - Journal of Symbolic Logic 64 (4):1601-1627.

Analytics

Added to PP
2009-01-28

Downloads
32 (#502,794)

6 months
17 (#151,974)

Historical graph of downloads
How can I increase my downloads?

References found in this work

Set Theory.Keith J. Devlin - 1981 - Journal of Symbolic Logic 46 (4):876-877.
The core model.A. Dodd & R. Jensen - 1981 - Annals of Mathematical Logic 20 (1):43-75.
Descriptive Set Theory.Yiannis Nicholas Moschovakis - 1982 - Studia Logica 41 (4):429-430.
The real core model and its scales.Daniel W. Cunningham - 1995 - Annals of Pure and Applied Logic 72 (3):213-289.
Is there a set of reals not in K(R)?Daniel W. Cunningham - 1998 - Annals of Pure and Applied Logic 92 (2):161-210.

Add more references