|
|
libcats.org
Foliations IAlberto Candel and Lawrence ConlonThis is the first of two volumes on the qualitative theory of foliations. This volume is divided into three parts. It is extensively illustrated throughout and provides a large number of examples. Part 1 is intended as a "primer" in foliation theory. A working knowledge of manifold theory and topology is a prerequisite. Fundamental definitions and theorems are explained to prepare the reader for further exploration of the topic. This section places considerable emphasis on the construction of examples, which are accompanied by many illustrations. Part 2 considers foliations of codimension one. Using very hands-on geometric methods, the path leads to a complete structure theory (the theory of levels), which was established by Conlon along with Cantwell, Hector, Duminy, Nishimori, Tsuchiya, et al. Presented here is the first and only full treatment of the theory of levels in a textbook. Part 3 is devoted to foliations of higher codimension, including abstract laminations (foliated spaces). The treatment emphasizes the methods of ergodic theory: holonomy-invariant measures and entropy. Featured are Sullivan's theory of foliation cycles, Plante's theory of growth of leaves, and the Ghys, Langevin, Walczak theory of geometric entropy. This comprehensive volume has something to offer a broad spectrum of readers: from beginners to advanced students to professional researchers. Packed with a wealth of illustrations and copious examples at varying degrees of difficulty, this highly-accessible text offers the first full treatment in the literature of the theory of levels for foliated manifolds of codimension one. It would make an elegant supplementary text for a topics course at the advanced graduate level. Foliations II is Volume 60 in the AMS in the Graduate Studies in Mathematics series.
Популярные книги за неделю:
Проектирование и строительство. Дом, квартира, садАвтор: Петер Нойферт, Автор: Людвиг Нефф
Размер книги: 20.83 Mb
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Радиолюбительские схемы на ИС типа 555Автор: Трейстер Р.Категория: Электротехника и связь
Размер книги: 13.64 Mb
Genki 1: An Integrated Course in Elementary Japanese 1Автор: Eri Banno, Автор: Yutaka Ohno, Автор: Yoko Sakane, Автор: Chikako Shinagawa, Автор:
Размер книги: 172.22 Mb
Только что пользователи скачали эти книги:
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Developing Your Intuition: A Guide to Reflective Practice (J-B CCL (Center for Creative Leadership))Автор: Center for Creative Leadership, Автор: Talula Cartwright
Размер книги: 229 Kb
Дерматология. Атлас-справочникАвтор: Фицпатрик Д., Автор: Джонсон Р. и др.Категория: ЗДОРОВЬЕ, НАУКА и УЧЕБА
Размер книги: 138.37 Mb
The Creation of a Republican Empire, 1776-1865 (Cambridge History of American Foreign Relations Volume 1)Автор: Bradford PerkinsКатегория: История
Размер книги: 15.34 Mb
Analyzing World Fiction: New Horizons in Narrative TheoryАвтор: Frederick Luis Aldama (Editor)
Размер книги: 2.95 Mb
Is There a Right to Remain Silent?: Coercive Interrogation and the Fifth Amendment After 9/11 (Inalienable Rights)Автор: Alan M. Dershowitz
Размер книги: 1.22 Mb
Shepherd To Sovereign: The Life of David (Epub & Mobi)Автор: Hayes PressКатегория: Christian
Размер книги: 486 Kb
|
|
|