منابع مشابه
Sacks Forcing and the Shrink Wrapping Property
We consider a property stronger than the Sacks property which holds between the ground model and the Sacks forcing extension. 1. The Shrink Wrapping Property Suppose that V is a Sacks forcing extension of a model M . Then the Sacks property holds between V and M . That is, for each x ∈ ω, there exists a tree T ⊆ ω in M such that x ∈ [T ] and each level of T is finite. The following is a stronge...
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(See below for a definition of the Sacks property.) A “definable” variant of this question has been answered in [Sh 480]: Every nontrivial Souslin forcing notion which has the Sacks property has an uncountable antichain. (A Souslin forcing notion is a forcing notion for which the set of conditions, the comparability relation and the incompatibility relation are all analytic subsets of the reals...
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We answer a question of Jockusch by constructing a hyperimmunefree minimal degree below a 1-generic one. To do this we introduce a new forcing notion called arithmetical Sacks forcing. Some other applications are presented.
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In 1924 Libman and Sacks published an account of atypical, sterile, verrucous vegetations on the heart in systemic lupus erythematosus (SLE). [1] Clusters of verrucae, looking like mulberries, were described on the ventricular surface of the posterior leaflet of the mitral valve and found at postmortem. The leaflet and the chordae tendinae are often adherent to the endocardium of the ventricula...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2002
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm171-1-6