Continuous Model Theory
1st Edition
Published on 6. June 2016
165 pages
978-1-4008-8205-2 (ISBN)
Description
This is a study of the theory of models with truth values in a compact Hausdorff topological space.
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Chen Chung Chang | H. Jerome Keisler
Continuous Model Theory
Book
06/1966
Princeton University Press
€66.30
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Persons
Chen Chung Chang & H. Jerome Keisler
Content
Frontmatter, pg. i
PREFACE, pg. vii
TABLE OF CONTENTS, pg. xi
CHAPTER I. TOPOLOGICAL PRELIMINARIES, pg. 1
CHAPTER II. CONTINUOUS LOGICS, pg. 17
CHAPTER III. MODEL-THEORETIC PRELIMINARIES, pg. 39
CHAPTER IV. ELEMENTARILY EQUIVALENT MODELS, pg. 55
CHAPTER V. ULTRAPRODUCTS OF MODELS AND APPLICATIONS, pg. 67
CHAPTER VI. SPECIAL MODELS, pg. 87
CHAPTER VII. CLASSES PRESERVED UNDER ALGEBRAIC RELATIONS, pg. 107
HISTORICAL NOTES, pg. 147
BIBLIOGRAPHY, pg. 153
INDEX OF SYMBOLS, pg. 161
INDEX OF DEFINITIONS, pg. 163
INDEX OF EXERCISES, pg. 165
Backmatter, pg. 166
PREFACE, pg. vii
TABLE OF CONTENTS, pg. xi
CHAPTER I. TOPOLOGICAL PRELIMINARIES, pg. 1
CHAPTER II. CONTINUOUS LOGICS, pg. 17
CHAPTER III. MODEL-THEORETIC PRELIMINARIES, pg. 39
CHAPTER IV. ELEMENTARILY EQUIVALENT MODELS, pg. 55
CHAPTER V. ULTRAPRODUCTS OF MODELS AND APPLICATIONS, pg. 67
CHAPTER VI. SPECIAL MODELS, pg. 87
CHAPTER VII. CLASSES PRESERVED UNDER ALGEBRAIC RELATIONS, pg. 107
HISTORICAL NOTES, pg. 147
BIBLIOGRAPHY, pg. 153
INDEX OF SYMBOLS, pg. 161
INDEX OF DEFINITIONS, pg. 163
INDEX OF EXERCISES, pg. 165
Backmatter, pg. 166
