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Lectures on Infinitary Model Theory (Lecture Notes in Logic) by David Marker
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eBay item number:387006361740
Item specifics
- Condition
- EAN
- 9781107181939
- UPC
- 9781107181939
- ISBN
- 9781107181939
- MPN
- N/A
- Item Length
- 22.9 cm
- Publication Year
- 2016
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Lectures on Infinitary Model Theory
- Item Height
- 236mm
- Publisher
- Cambridge University Press
- Item Width
- 160mm
- Subject
- Mathematics
- Item Weight
- 430g
- Number of Pages
- 192 Pages
About this product
Product Information
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 Montalban'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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-13
9781107181939
eBay Product ID (ePID)
224083021
Product Key Features
Publication Name
Lectures on Infinitary Model Theory
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2016
Type
Textbook
Number of Pages
192 Pages
Dimensions
Item Height
236mm
Item Width
160mm
Item Weight
430g
Additional Product Features
Series Title
Lecture Notes in Logic
Country/Region of Manufacture
United Kingdom
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