scholarly journals Creature forcing and large continuum: the joy of halving

2011 ◽  
Vol 51 (1-2) ◽  
pp. 49-70 ◽  
Author(s):  
Jakob Kellner ◽  
Saharon Shelah
Keyword(s):  
Large Continuum ◽  
Creature Forcing

scholarly journals Decisive creatures and large continuum

2009 ◽  
Vol 74 (1) ◽  
pp. 73-104 ◽  
Author(s):  
Jakob Kellner ◽  
Saharon Shelah
Keyword(s):  
Countable Support ◽  
Large Continuum ◽  
Dual Notion ◽  
Creature Forcing ◽  
Countable Support Iteration

AbstractFor f, g ∈ ωω let be the minimal number of uniform g-splitting trees (or: Slaloms) to cover the uniform f-splitting tree, i.e., for every branch v of the f-tree, one of the g-trees contains v. is the dual notion: For every branch v, one of the g-trees guesses v(m) infinitely often.It is consistent that for ℵ1 many pairwise different cardinals κ∊ and suitable pairs (f∊, g∊).For the proof we use creatures with sufficient bigness and halving. We show that the lim-inf creature forcing satisfies fusion and pure decision. We introduce decisiveness and use it to construct a variant of the countable support iteration of such forcings, which still satisfies fusion and pure decision.

scholarly journals UV and optical spectroscopy of CH Cygni in 1980–86

1987 ◽  
Vol 122 ◽  
pp. 487-489 ◽  
Author(s):  
J. Mikołajewska ◽  
M. Mikołajewski ◽  
R. Biernikowicz ◽  
P.L. Selvelli ◽  
Z. Turło
Keyword(s):  
Emission Line ◽  
Optical Spectroscopy ◽  
Active Phase ◽  
Emission Lines ◽  
Symbiotic Star ◽  
Uv Spectrum ◽  
Brightness Level ◽  
Radio Outburst ◽  
Large Continuum

CH Cyg is a binary (P∼5750 days) consisting of a normal M6-7 giant and an unseen companion. During active phase its spectrum is similar to that of a symbiotic star - the strong B-A continuum and numerous low-excitation emission lines dominate the visual and UV spectrum. The last outburst, started in 1977, is conspicuous by the highest brightness level observed since monitoring begun in 1935. In mid 1984, a drop in brightness was accompanied by large continuum and emission line changes and correlated with a radio outburst and two expanding jets appearance (Taylor et al. 1985).

scholarly journals Large continuum, oracles

2010 ◽  
Vol 8 (2) ◽  
pp. 213-234
Author(s):  
Saharon Shelah
Keyword(s):  
Large Continuum

scholarly journals Mad families, splitting families and large continuum

2011 ◽  
Vol 76 (1) ◽  
pp. 198-208 ◽  
Author(s):  
Jörg Brendle ◽  
Vera Fischer
Keyword(s):  
Measurable Cardinal ◽  
Finite Support ◽  
Mad Families ◽  
Large Continuum ◽  
Uncountable Cardinals ◽  
Matrix Iteration ◽  
Finite Support Iteration

AbstractLet κ < λ be regular uncountable cardinals. Using a finite support iteration (in fact a matrix iteration) of ccc posets we obtain the consistency of . If μ is a measurable cardinal and μ < κ < λ, then using similar techniques we obtain the consistency of .

scholarly journals Projective wellorders and mad families with large continuum

2011 ◽  
Vol 162 (11) ◽  
pp. 853-862 ◽  
Author(s):  
Vera Fischer ◽  
Sy David Friedman ◽  
Lyubomyr Zdomskyy
Keyword(s):  
Mad Families ◽  
Large Continuum

Managing Substance Use Disorder

2019 ◽  
Author(s):  
Dennis C. Daley ◽  
Antoine B. Douaihy
Keyword(s):  
Substance Use ◽  
Social Services ◽  
Substance Use Disorders ◽  
Substance Use Disorder ◽  
Addiction Treatment ◽  
Medical Center ◽  
Direct Care ◽  
Extensive Experience ◽  
Medical Practitioners ◽  
Large Continuum

This practitioner guide reviews screening, assessment, and treatment of substance use disorders (SUDs). It is designed to accompany Managing Your Substance Use Disorder: Client Workbook and A Family Guide to Coping with Substance Use Disorders. The latter guide was added because each person with a SUD affects the family and concerned significant others. The information and strategies that the authors present can be used with clients who have any type of SUD. The guide focuses on strategies to reduce or stop substance use and change behaviors that challenge recovery. The information presented is derived from research, clinical, and recovery literature and from the authors’ extensive experience developing and managing a large continuum of clinical services, providing direct care, conducting quality improvement initiatives, participating in clinical trials, and teaching all disciplines in a large medical center and the community. This guide discusses professional approaches and attitudes toward individuals with SUDs, assessment, diagnostic formulation, psychosocial and pharmacotherapeutic treatments, and mutual support programs. It provides an overview of the recovery and relapse processes and practical strategies to address issues associated with SUDs. This guide is for practitioners from any discipline who encounter individuals with SUDs in addiction, mental health, psychiatric, private practice, or other settings such as social services and the criminal justice system. Even medical practitioners who do not specialize in addiction treatment can benefit from the information in this guide because individuals with SUDs are found in all types of healthcare settings.

scholarly journals Creature forcing and five cardinal characteristics in Cichoń’s diagram

2017 ◽  
Vol 56 (7-8) ◽  
pp. 1045-1103 ◽  
Author(s):  
Arthur Fischer ◽  
Martin Goldstern ◽  
Jakob Kellner ◽  
Saharon Shelah
Keyword(s):  
Cardinal Characteristics ◽  
Cichoń’S Diagram ◽  
Creature Forcing

scholarly journals Cichoń’s diagram and localisation cardinals

2020 ◽  
Author(s):  
Martin Goldstern ◽  
Lukas Daniel Klausner
Keyword(s):  
Countable Support ◽  
Link Type ◽  
Cardinal Characteristics ◽  
Cichoń’S Diagram ◽  
Creature Forcing

Abstract We reimplement the creature forcing construction used by Fischer et al. (Arch Math Log 56(7–8):1045–1103, 2017. 10.1007/S00153-017-0553-8. arXiv:1402.0367 [math.LO]) to separate Cichoń’s diagram into five cardinals as a countable support product. Using the fact that it is of countable support, we augment our construction by adding uncountably many additional cardinal characteristics, sometimes referred to as localisation cardinals.

scholarly journals A CO-ANALYTIC COHEN-INDESTRUCTIBLE MAXIMAL COFINITARY GROUP

2017 ◽  
Vol 82 (2) ◽  
pp. 629-647
Author(s):  
VERA FISCHER ◽  
DAVID SCHRITTESSER ◽  
ASGER TÖRNQUIST
Keyword(s):  
Large Continuum ◽  
Cohen Forcing ◽  
Image Position

AbstractAssuming that every set is constructible, we find a ${\text{\Pi }}_1^1 $ maximal cofinitary group of permutations of $\mathbb{N}$ which is indestructible by Cohen forcing. Thus we show that the existence of such groups is consistent with arbitrarily large continuum. Our method also gives a new proof, inspired by the forcing method, of Kastermans’ result that there exists a ${\text{\Pi }}_1^1 $ maximal cofinitary group in L.

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