# topological group

- a set that is a group and a topological space and for which the group operation and the map of an element to its inverse are continuous functions.

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## Origin of topological group^{}

First recorded in 1945–50

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## topological group

- maths a group, such as the set of all real numbers, that constitutes a topological space and in which multiplication and inversion are continuous

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Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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