topological space


Definition of topological space

: a set with a collection of subsets satisfying the conditions that both the empty set and the set itself belong to the collection, the union of any number of the subsets is also an element of the collection, and the intersection of any finite number of the subsets is an element of the collection

First Known Use of topological space

1926, in the meaning defined above

Keep scrolling for more

Learn More about topological space

Share topological space

Statistics for topological space

Look-up Popularity

Time Traveler for topological space

The first known use of topological space was in 1926

See more words from the same year

More from Merriam-Webster on topological space Encyclopedia article about topological space

Comments on topological space

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


irregularly rounded

Get Word of the Day daily email!

Test Your Vocabulary

What did you just call me?! A Quiz

  • rows-of-various-emoji
  • If a member of the audience describes your speech as bombastic, does that person mean it is:
True or False

Test your knowledge - and maybe learn something along the way.

Syn City

Test Your Knowledge - and learn some interesting things along the way.


Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!