|
libcats.org
Invariant Descriptive Set TheorySu GaoPresents 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:
![]() Противостояние форматов DVD-R-RW и DVD+RWАвтор:Категория: Офисные программы бизнес-приложения
Размер книги: 56 Kb
![]() Тестирование Дот Ком, или Пособие по жестокому обращению с багами в интернет-стартапахАвтор: Роман Савин
Размер книги: 5.26 Mb
![]() Царство китайского языка - веселый путь овладения китайским языком. Учебник 2А и 2Б + аудиокурсАвтор: Liu Fuhua, Автор: Wang Wei, Автор: Zhou Ruian, Автор: Li Dongmei
Размер книги: 28.47 Mb
![]() Learning Curves: Body Image and Female Sexuality in Young Adult Literature (Scarecrow Studies in Young Adult Literature)Автор: Beth Younger
Размер книги: 5.55 Mb
Только что пользователи скачали эти книги:
![]() The American Science of Politics: International Library of Sociology C: Political Sociology (International Library of Sociology)Автор: Prof. Ber CrickКатегория: Общественные науки прочие, Социология
Размер книги: 1.12 Mb
![]() Introduction to the Functional Renormalization GroupАвтор: Kopietz P., Автор: Bartosch L., Автор: Schuetz F.Категория: P_Physics, Pln_Lecture notes
Размер книги: 2.87 Mb
![]() Carbohydrate ChemistryАвтор: Royal Society of Chemistry, Автор: Robert J. Ferrier
Размер книги: 32.19 Mb
![]() Dynamite networking for dynamite jobs: 101 interpersonal, telephone, and electronic techniques for getting job leads, interviews and offersАвтор: Ronald L. Krannich, Автор: Caryl Rae Krannich
Размер книги: 1.04 Mb
|
|