topological group

American  

noun

Mathematics.

1. 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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topological group British  

noun

1. 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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Etymology

Origin of topological group

First recorded in 1945–50