Less saturated ideals
نویسندگان
چکیده
منابع مشابه
Less Saturated Ideals
We prove the following: (1) If κ is weakly inaccessible then NSκ is not κ+-saturated. (2) If κ is weakly inaccessible and θ < κ is regular then NSθ κ is not κ +saturated. (3) If κ is singular then NS κ+ is not κ++-saturated. Combining this with previous results of Shelah, one obtains the following: (A) If κ > א1 then NSκ is not κ+-saturated. (B) If θ+ < κ then NSθ κ is not κ +-saturated.
متن کاملFat sets and saturated ideals
We strengthen a theorem of Gitik and Shelah [6] by showing that if κ is either weakly inaccessible or the successor of a singular cardinal and S is a stationary subset of κ such that NSκ S is saturated then κ \S is fat. Using this theorem we derive some results about the existence of fat stationary sets. We then strengthen some results due to Baumgartner and Taylor [2], showing in particular th...
متن کاملAlmost-disjoint Coding and Strongly Saturated Ideals
We show that Martin’s Axiom plus c = א2 implies that there is no (א2,א2,א0)-saturated σ-ideal on ω1. Given cardinals λ, κ and γ, a σ-ideal I on a set X is said to be (λ, κ, γ)-saturated if for every set {Aα : α < λ} ⊂ P(X) \ I there exists a set Y ∈ [λ] such that for all Z ∈ [Y ] , ⋂ {Aα : α ∈ Z} ∈ I. Laver [6] was the first to show the consistency of an (א2,א2,א0)-saturated ideal on ω1, using ...
متن کاملSaturated ideals obtained via restricted iterated collapse of huge cardinals
A uniform method to define a (restricted iterated) forcing notion to collapse a huge cardinal to a small one to obtain models with various types of highly saturated ideals over small cardinals is presented. The method is discussed in great technical details in the first chapter, while in the second chapter the application of the method is shown on three different models: Model I with an א1-comp...
متن کاملMulti-dimensional grid-less estimation of saturated signals
This work proposes a multi-dimensional frequency and amplitude estimator tailored for noise corrupted signals that have been clipped. Formulated as a sparse reconstruction problem, the proposed algorithm estimates the signal parameters by solving an atomic norm minimization problem. The estimator also exploits the waveform information provided by the clipped samples, incorporated in the form of...
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: Proceedings of the American Mathematical Society
سال: 1997
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-97-03702-7