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单词 TopologicalGroupobsolete
释义

topological group (obsolete)


This entry is obsolete, having been superseded by a new entry (http://planetmath.org/TopologicalGroup2). It is being retained for a short while because of the attached thread.

A topological groupMathworldPlanetmath is a triple (G,,𝒯) where (G,) is a group and 𝒯 is a topologyMathworldPlanetmath on G such that under 𝒯, the group operationMathworldPlanetmath (x,y)xy is continuous with respect to the product topology on G×G and the inverse map xx-1 is continuous on G.

Many authors require that the topology be HausdorffPlanetmathPlanetmath.

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更新时间:2025/5/4 18:53:13