topological transformation group
The function is called the (left) action of on . When there is no confusion, is simply written , so that the two conditions above read and .
If is a topological group, can be considered a topological transformation group on itself. There are many continuous actions that can be defined on . For example, given by is one such action. It is continuous, and satisfies the two action axioms. is also effective with respect to .
|Title||topological transformation group|
|Date of creation||2013-03-22 16:43:58|
|Last modified on||2013-03-22 16:43:58|
|Last modified by||CWoo (3771)|
|Defines||effective topological transformation group|