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Fine Structure and Class Forcing : de Gruyter Logic and Its Applications - Sy D. Friedman

Fine Structure and Class Forcing

de Gruyter Logic and Its Applications

Hardcover Published: 26th July 2000
ISBN: 9783110167771
Number Of Pages: 231
For Ages: 22+ years old

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The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level.

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"The author has not been loath to publish his ongoing work nor to present it in systematic lectures and courses, and the volume under review could be regarded as a compendium of work that has already appeared in print. However, both in its integration of the work and the simplifications afforded by steady research in the subject, the book is pleasingly accessible, satisfying self-contained, and magisterial in presentation. [...] This volume is enticing in its elegance and simplicity at first and inveigles the reader to get involved in some of its later complexities." Mathematical Reviews

Prefacep. vii
The [Sigma]* Approach to the Fine Structure of Lp. 1
The J-Hierarchyp. 1
Fine Structure Theoryp. 5
Morassesp. 14
Forcingp. 25
Set Forcingp. 25
Class Forcingp. 32
Examplesp. 39
Construction of Generic Classesp. 49
Rigidityp. 50
Relevant Forcingp. 59
The Coding Theoremp. 65
Three Questions of Solovayp. 65
The Coding Theorem without 0#p. 67
The Coding Theorem in the General Casep. 76
Large Cardinal Preservation and Relevancep. 86
The Genericity Problemp. 92
Jensen's Example and a New Conjecturep. 92
Perturbing the Indiscerniblesp. 99
Generic Saturationp. 112
The II[superscript 1 subscript 2]-Singleton Problemp. 117
An Absolute Singletonp. 117
David's Trickp. 129
Other Applicationsp. 133
The Admissibility Spectrum Problemp. 140
Killing Admissiblesp. 140
Strong Codingp. 144
Other Spectrap. 163
Further Applications of Class Forcingp. 169
[Delta subscript 1]-Codingp. 169
Iterated Class Forcingp. 175
Minimal Codingp. 183
Further Applications to Descriptive Set Theoryp. 202
Some Open Problemsp. 209
Referencesp. 211
Indexp. 215
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9783110167771
ISBN-10: 3110167778
Series: de Gruyter Logic and Its Applications
Audience: General
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 231
Published: 26th July 2000
Country of Publication: DE
Dimensions (cm): 24.69 x 17.68  x 1.73
Weight (kg): 0.49

Earn 544 Qantas Points
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