| 释义 |
topological group A topological group G is a group, which is also a topological space, such that multiplication G×G → G given by (g1,g2) ↦ g1g2 and inversion G → G given by g ↦ g–1 are both continuous functions. Examples include R, ℚ, the circle S1, and the groups listed under matrix groups. A topological group which is a (topological) manifold is necessarily a Lie group.
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