Karl H. Hofmann; Eric C. Nummela; Paul S. Mostert Cohomology Theories for Compact Abelian Groups 9783642806728

Варианты приобретения

Цена: 11173.00р.
Кол-во:
Наличие: Поставка под заказ. Есть в наличии на складе поставщика.
Склад Америка: Есть
При оформлении заказа до: 2025-07-28
Ориентировочная дата поставки: Август-начало Сентября
При условии наличия книги у поставщика.

Добавить в корзину

в Мои желания

Автор: Karl H. Hofmann; Eric C. Nummela; Paul S. Mostert
Название: Cohomology Theories for Compact Abelian Groups
ISBN: 9783642806728
Издательство: Springer
Классификация: ISBN-10: 3642806724
Обложка/Формат: Paperback
Страницы: 236
Вес: 0.39 кг.
Дата издания: 14.12.2011
Язык: English
Размер: 244 x 170 x 13
Основная тема: Mathematics
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo- metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com- pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be abelian. Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two.

Cohomology Theories for Compact Abelian Groups, Karl H. Hofmann; Eric C. Nummela; Paul S. Mostert