Marker Lectures on Infinitary Model Theory 9781107181939

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Автор: Marker
Название: Lectures on Infinitary Model Theory
Издательство: Cambridge Academ
Классификация:
Основы математики
Алгебра
Геометрия
ISBN: 1107181933
ISBN-13(EAN): 9781107181939
ISBN: 1-107181-3-3
ISBN-13(EAN): 978-1-107181-3-9
Обложка/Формат: Hardback
Страницы: 192
Вес: 0.434 кг.
Дата издания: 27.10.2016
Серия: Lecture notes in logic
Язык: English
Иллюстрации: Worked examples or exercises; 00 printed music items; 00 tables, unspecified; 00 tables, color; 00 tables, black and white; 00 plates, unspecified; 00 plates, color; 00 plates, black and white; 00 maps; 00 halftones, unspecified; 00 halftones, color;
Размер: 161 x 237 x 22
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Mathematical logic,Set theory,Algebra,Algebraic geometry, MATHEMATICS / Logic
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: 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. Zilbers 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 Vaughts conjecture, and effective aspects of infinitary model theory are reviewed, including an introduction to Montalbans 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.

Lectures on Infinitary Model Theory, Marker