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topological group

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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.

Origin of topological group

First recorded in 1945–50
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018
British Dictionary definitions for topological group

topological group

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
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

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