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
Words nearby topological group
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020
British Dictionary definitions for 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
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