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Categoricity (University Lecture Series)
John T. Baldwin
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Description for Categoricity (University Lecture Series)
Paperback. Modern model theory began with Morley's categoricity theorem. Over the years Shelah made great strides in extending this result to infinitary logic. Zilber developed similar techniques of infinitary model theory to study complex exponentiation. This book offers a systematic exposition of this work. Series: University Lecture Series. Num Pages: 235 pages. BIC Classification: PBCD. Category: (UP) Postgraduate, Research & Scholarly. Weight in Grams: 457.
Modern model theory began with Morley's categoricity theorem: A countable first-order theory that has a unique (up to isomorphism) model in one uncountable cardinal (i.e., is categorical in cardinality) if and only if the same holds in all uncountable cardinals. Over the last 35 years Shelah made great strides in extending this result to infinitary logic, where the basic tool of compactness fails. He invented the notion of an Abstract Elementary Class to give a unifying semantic account of theories in first-order, infinitary logic and with some generalized quantifiers. Zilber developed similar techniques of infinitary model theory to study complex ... Read more
Modern model theory began with Morley's categoricity theorem: A countable first-order theory that has a unique (up to isomorphism) model in one uncountable cardinal (i.e., is categorical in cardinality) if and only if the same holds in all uncountable cardinals. Over the last 35 years Shelah made great strides in extending this result to infinitary logic, where the basic tool of compactness fails. He invented the notion of an Abstract Elementary Class to give a unifying semantic account of theories in first-order, infinitary logic and with some generalized quantifiers. Zilber developed similar techniques of infinitary model theory to study complex ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
American Mathematical Society
Condition
New
Series
University Lecture Series
Number of Pages
235
Place of Publication
Providence, United States
ISBN
9780821848937
SKU
V9780821848937
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
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