Hidden Bibliographic Details
| Other authors / contributors: | Association for Symbolic Logic.
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| ISBN: | 9781316860366
1316860361
9781316861509
1316861503
9781316855560
1316855562
9781316861127
1316861120
1316859223
9781316859223
1316859606
9781316859605
1316859983
9781316859988
9781107181939
1107181933
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| Notes: | "Association for Symbolic Logic."
Includes bibliographical references and index.
Print version record.
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| Summary: | "Infinitary logic, the logic of languages with infinitely long conjunctions, plays an important role in model theory, recursion theory and descriptive set theory. This book is the first modern introduction to the subject in forty years, and will bring students and researchers in all areas of mathematical logic up to the threshold of modern research. The classical topics of back-and-forth systems, model existence techniques, indiscernibles and end extensions are covered before more modern topics are surveyed. Zilber's categoricity theorem for quasiminimal excellent classes is proved and an application is given to covers of multiplicative groups. Infinitary methods are also used to study uncountable models of counterexamples to Vaught's conjecture, and effective aspects of infinitary model theory are reviewed, including an introduction to Montalbán's recent work on spectra of Vaught counterexamples. Self-contained introductions to effective descriptive set theory and hyperarithmetic theory are provided, as is an appendix on admissible model theory"--Provided by publisher.
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| Other form: | Print version: Marker, D. (David), 1958- Lectures on infinitary model theory. Cambridge, United Kingdom ; New York, NY, USA : Cambridge University Press, [2016] 9781107181939
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