topological group


topological group

noun

Definition of TOPOLOGICAL GROUP

:  a mathematical group which is also a topological space, whose multiplicative operation has the property that given any neighborhood of a product there exist neighborhoods of the elements composing the product such that any pair of elements representing each of these neighborhoods form a product belonging to the given neighborhood, and whose operation of taking inverses has the property that for any neighborhood of the inverse of an element there exists a neighborhood of the element itself in which every element has its inverse in the other neighborhood

First Known Use of TOPOLOGICAL GROUP

1946

Browse

Next Word in the Dictionary: topologically equivalent
Previous Word in the Dictionary: topological equivalence
All Words Near: topological group

Seen & Heard

What made you want to look up topological group? Please tell us where you read or heard it (including the quote, if possible).

Get Our Free Apps
Voice Search, Favorites,
Word of the Day, and More
Join Us on FB & Twitter
Get the Word of the Day and More