Quantcast
Merriam-Webster Logo
  • Dictionary
  • Thesaurus
  • Scrabble
  • Spanish Central
  • Learner's Dictionary

topological group

noun

Definition of topological group

  1. :  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



1946

First Known Use of topological group

1946


Learn More about topological group


Seen and Heard

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

WORD OF THE DAY

to lessen in amount, effect, or force

Get Word of the Day daily email!