The equivalence of determinacy and iterated sharps

Journal of Symbolic Logic 55 (2):502-525 (1990)
Abstract
We characterize, in terms of determinacy, the existence of 0 ♯♯ as well as the existence of each of the following: 0 ♯♯♯ , 0 ♯♯♯♯ ,0 ♯♯♯♯♯ , .... For k ∈ ω, we define two classes of sets, (k * Σ 0 1 ) * and (k * Σ 0 1 ) * + , which lie strictly between $\bigcup_{\beta and Δ(ω 2 -Π 1 1 ). We also define 0 1♯ as 0 ♯ and in general, 0 (k + 1)♯ as (0 k♯) ♯ . We then show that the existence of 0 (k + 1)♯ is equivalent to the determinacy of ((k + 1) * Σ 0 1 ) * as well as the determinacy of (k * Σ 0 1 ) * +
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2274643
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 19,940
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Donald A. Martin (1990). An Extension of Borel Determinacy. Annals of Pure and Applied Logic 49 (3):279-293.
Daniel W. Cunningham (1995). The Real Core Model and its Scales. Annals of Pure and Applied Logic 72 (3):213-289.

Add more citations

Similar books and articles

Monthly downloads

Added to index

2009-01-28

Total downloads

6 ( #453,572 of 1,792,026 )

Recent downloads (6 months)

1 ( #463,566 of 1,792,026 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.