libcats.org
Главная

Invariant Descriptive Set Theory

Обложка книги Invariant Descriptive Set Theory

Invariant Descriptive Set Theory

Presents Results from a Very Active Area of Research

Exploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathematics, such as algebra, topology, and logic, which have diverse applications to other fields.

After reviewing classical and effective descriptive set theory, the text studies Polish groups and their actions. It then covers Borel reducibility results on Borel, orbit, and general definable equivalence relations. The author also provides proofs for numerous fundamental results, such as the Glimm–Effros dichotomy, the Burgess trichotomy theorem, and the Hjorth turbulence theorem. The next part describes connections with the countable model theory of infinitary logic, along with Scott analysis and the isomorphism relation on natural classes of countable models, such as graphs, trees, and groups. The book concludes with applications to classification problems and many benchmark equivalence relations.

By illustrating the relevance of invariant descriptive set theory to other fields of mathematics, this self-contained book encourages readers to further explore this very active area of research.

EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb
Только что пользователи скачали эти книги:

A Wreath for Rivera

Автор:
Размер книги: 583 Kb

Марина Наумова. Это

Автор:
Размер книги: 34 Kb

The First 10 Prolog Programming Contests

Автор: , Автор: , Автор: , Автор:
Размер книги: 773 Kb

Christabel

Автор:
Категория: fiction
Размер книги: 27 Kb

The Wrong Kind of Blood

Автор:
Категория: fiction
Размер книги: 296 Kb

Paradise Interrupted

Автор:
Категория: fiction
Размер книги: 148 Kb