منابع مشابه
Radin forcing and its iterations
We provide an exposition of supercompact Radin forcing and present several methods for iterating Radin forcing. In this paper we give an exposition of supercompact Radin forcing using coherent sequences of ultrafilters. This version of Radin forcing includes as special cases the Prikry forcing and Magidor forcing, both the measurable and supercompact versions. We also introduce some methods for...
متن کاملDiagonal Supercompact Radin Forcing
In this paper we consider two methods for producing models with some global behavior of the continuum function on singular cardinals and the failure of weak square. The first method is as an extension of Sinapova’s work [21]. We define a diagonal supercompact Radin forcing which adds a club subset to a cardinal κ while forcing the failure of SCH everywhere on the club. The intuition from Sinapo...
متن کاملExtender Based Radin Forcing
We define extender sequences, generalizing measure sequences of Radin forcing. Using the extender sequences, we show how to combine the Gitik-Magidor forcing for adding many Prikry sequenes with Radin forcing. We show that this forcing satisfies a Prikry like condition destroys no cardinals, and has a kind of properness. Depending on the large cardinals we start with this forcing can blow the p...
متن کاملPreservation theorems for countable support forcing iterations
A major theme of [12] is preservation theorems for iterated forcing. These are theorems of the form “if 〈Pξ : ξ ≤ κ〉 is a countable support forcing iteration based on 〈Q̇ξ : ξ < κ〉 and each Q̇ξ has property such-and-such then Pκ has property thus-and-so.” The archetypal preservation theorem is the Fundamental Theorem of Proper Forcing [12, chapter III], which states that if each Q̇ξ is proper in V...
متن کاملBiochemistry: Radin and Barker
* This investigation was supported in part by the U. S. Atomic Energy Commission. t Although the active concentration of M(OH)2 in the solid phase is generally assumed to be constant, as the entire mass per unit volume does not participate in a reaction, this treatment has admitted the M(OH)2 as a variable in the equation. 1 Adler, E., v. Euler, H., Gunther, G., and Plass, M., Biochem. J., 33, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Archive for Mathematical Logic
سال: 2007
ISSN: 0933-5846,1432-0665
DOI: 10.1007/s00153-007-0041-7