Lectures on Infinitary Model Theory

Nonfiction, Science & Nature, Mathematics, Set Theory, Logic
Cover of the book Lectures on Infinitary Model Theory by David Marker, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David Marker ISBN: 9781316856949
Publisher: Cambridge University Press Publication: October 27, 2016
Imprint: Cambridge University Press Language: English
Author: David Marker
ISBN: 9781316856949
Publisher: Cambridge University Press
Publication: October 27, 2016
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Jonathan Swift and the Eighteenth-Century Book by David Marker
Cover of the book Finite Precision Number Systems and Arithmetic by David Marker
Cover of the book Human Rights in International Relations by David Marker
Cover of the book Bramante's Tempietto, the Roman Renaissance, and the Spanish Crown by David Marker
Cover of the book The Diatoms by David Marker
Cover of the book Islamist Terrorism and Democracy in the Middle East by David Marker
Cover of the book Rethinking Transitional Justice for the Twenty-First Century by David Marker
Cover of the book A Farewell to Fragmentation by David Marker
Cover of the book Law and Legal Process by David Marker
Cover of the book The Content and Context of Hate Speech by David Marker
Cover of the book The Law of Good People by David Marker
Cover of the book Plato's 'Laws' by David Marker
Cover of the book Parental Psychiatric Disorder by David Marker
Cover of the book Clinical Emergency Radiology by David Marker
Cover of the book Pearls and Pitfalls in Musculoskeletal Imaging by David Marker
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy