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topological group
also called Completeness

14 more terms with the same name exist. Show the other terms
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  1. In mathematics, a topological group is a group G together with a topology on G such that the group's binary operation and the group's inverse function are continuous

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 26, 2008
  2. Topological groups allow one to study the notion of continuous symmetries in the form of continuous group actions

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 26, 2008
  3. G is a topological space and group such that the group operations and are continuous functions

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 26, 2008
  4. Every group can be trivially made into a topological group by considering it with the discrete topology; such groups are called discrete groups

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 26, 2008
  5. The algebraic and topological structures of a topological group interact in non-trivial ways

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 26, 2008
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