Kate Juschenko Amenability of Discrete Groups by Examples 9781470470326

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Автор: Kate Juschenko
Название: Amenability of Discrete Groups by Examples
ISBN: 9781470470326
Издательство: Mare Nostrum (Eurospan)
Классификация:

Основы высшей математики и математический анализ

Геометрия

Топология

ISBN-10: 1470470322
Обложка/Формат: Paperback
Страницы: 167
Вес: 0.63 кг.
Дата издания: 30.08.2022
Серия: Mathematical surveys and monographs
Язык: English
Размер: 219 x 308 x 23
Ключевые слова: Calculus & mathematical analysis,Geometry,Topology
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Поставляется из: Англии
Описание: The main topic of the book is amenable groups, i.e., groups on which there exist invariant finitely additive measures. It was discovered that the existence or non-existence of amenability is responsible for many interesting phenomena such as, e.g., the Banach-Tarski Paradox about breaking a sphere into two spheres of the same radius. Since then, amenability has been actively studied and a number of different approaches resulted in many examples of amenable and non-amenable groups.In the book, the author puts together main approaches to study amenability. A novel feature of the book is that the exposition of the material starts with examples which introduce a method rather than illustrating it. This allows the reader to quickly move on to meaningful materialwithout learning and remembering a lot of additional definitions and preparatory results; those are presented after analyzing the main examples. The techniques that are used for proving amenability in this book are mainly a combination of analytic and probabilistic tools with geometric group theory.
Дополнительное описание: Calculus and mathematical analysis|Geometry|Topology

Amenability of Discrete Groups by Examples, Kate Juschenko