| 书目名称 | Cohomology Theories for Compact Abelian Groups | | 编辑 | Karl H. Hofmann,Paul S. Mostert | | 视频video | | | 图书封面 |  | | 描述 | 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 know | | 出版日期 | Textbook 19731st edition | | 关键词 | Abelian group; Algebraic structure; Cohomology; Group theory; Representation theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-80670-4 | | isbn_softcover | 978-3-642-80672-8 | | isbn_ebook | 978-3-642-80670-4 | | copyright | VEB Deutscher Verlag der Wissenschaften, Berlin 1973 |
The information of publication is updating
|
|
发表于 2025-3-21 17:44:55
