topological group

noun Mathematics.

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

Words nearby topological group

topographic anatomy, topographic map, topography, topolect, topological equivalence, topological group, topological invariant, topological space, topological transformation, topology, topolski

British Dictionary definitions for topological group

topological group

noun

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