Lectures on infinitary model theory

Lectures on infinitary model theory

book type
0 Review(s) 
LF/643853/R
English
In stock
грн142.50
грн128.25 Save 10%

  Instant download 

after payment (24/7)

  Wide range of formats 

(for all gadgets)

  Full book 

(including for Apple and Android)

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 existencetechniques, 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.Abstract: This book is the first modern introduction to the logic of infinitary languages in forty years, and is aimed at graduate students and researchers in all areas of mathematical logic. Connectionsbetween infinitary model theory and other branches of mathematical logic, and applications to algebra and algebraic geometry are both comprehensively explored.
LF/643853/R

Data sheet

Name of the Author
David
Marker
Language
English
Series
Springer Lecture notes in logic 46
ISBN
9781316855560
Release date
2016

Reviews

Write your review

Lectures on infinitary model theory

Infinitary logic, the logic of languages with infinitely long conjunctions, plays an important role in model theory, recursion theory and descriptive set the...

Write your review

15 books by the same author:

Products from this category: