|
" Simple theories and hyperimaginaries / "
Enrique Casanovas
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
687839
|
| Doc. No
|
:
|
b510028
|
| Main Entry
|
:
|
Casanovas, Enrique,1957-
|
| Title & Author
|
:
|
Simple theories and hyperimaginaries /\ Enrique Casanovas
|
| Publication Statement
|
:
|
New York :: Cambridge University Press,, 2011
|
| Series Statement
|
:
|
Lecture notes in logic ;; 39
|
| Page. NO
|
:
|
xiv, 169 p. ;; 24 cm
|
| ISBN
|
:
|
0521119553
|
|
|
:
|
: 9780521119559
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references and index
|
| Contents
|
:
|
Preliminaries -- x,y-Types, stability and simplicity -- x,y-Types and the local rank D -- Forking -- Independence -- The local rank CB x,y (pi) -- Heirs and coheirs -- Stable forking -- Lascar strong types -- The independence theorem -- Canonical bases -- Abstract independence relations -- Supersimple theories -- More ranks -- Hyperimaginaries -- Hyperimaginary forking -- Canonical bases revisited -- Elimination of hyperimaginaries -- Orthogonality and analysability -- Hyperimaginaries in supersimple theories
|
| Abstract
|
:
|
"In the 1990s Byunghan Kim and Anand Pillay generalized stability, a major model-theoretic idea developed by Saharon Shelah twenty-five years earlier, to the study of simple theories. This book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of general model theory, the foundations of forking, stability, and simplicity are presented in full detail. The treatment of the topics is as general as possible, working with stable formulas and types and assuming stability of the theory only when necessary. The author offers an introduction to independence relations as well as a full account of canonical bases of types in stable and simple theories. In the last chapters, the notions of internality and analyzability are discussed and used to provide a self-contained proof of elimination of hyperimaginaries in supersimple theories"--Provided by publisher
|
|
|
:
|
"This book is a self-contained, up-to-date introduction to simple theories and the model theory of hyperimaginaries"--Provided by publisher
|
| Subject
|
:
|
First-order logic
|
| Subject
|
:
|
Hyperspace
|
| Subject
|
:
|
Model theory
|
| LC Classification
|
:
|
QA9.7.C37 2011
|
| |