The Topological Dynamics of Ellis Actions is popular PDF and ePub book, written by Ethan Akin in 2008, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Topological Dynamics of Ellis Actions can be Read Online from any device for your convenience.
The Topological Dynamics of Ellis Actions Book PDF Summary
An Ellis semigroup is a compact space with a semigroup multiplication which is continuous in only one variable. An Ellis action is an action of an Ellis semigroup on a compact space such that for each point in the space the evaluation map from the semigroup to the space is continuous. At first the weak linkage between the topology and the algebra discourages expectations that such structures will have much utility. However, Ellis has demonstrated that these actions arise naturallyfrom classical topological actions of locally compact groups on compact spaces and provide a useful tool for the study of such actions. In fact, via the apparatus of the enveloping semigroup the classical theory of topological dynamics is subsumed by the theory of Ellis actions. The authors'exposition describes and extends Ellis' theory and demonstrates its usefulness by unifying many recently introduced concepts related to proximality and distality. Moreover, this approach leads to several results which are new even in the classical setup.
Detail Book of The Topological Dynamics of Ellis Actions PDF
- Author : Ethan Akin
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821841884
- Genre : Mathematics
- Total Page : 166 pages
- Language : English
- PDF File Size : 17,7 Mb
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