topological space

noun

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

Learn More About topological space

Time Traveler for topological space

Time Traveler

The first known use of topological space was in 1926

See more words from the same year

Dictionary Entries Near topological space

topological psychology

topological space

topological transformation

See More Nearby Entries 

Statistics for topological space

Cite this Entry

“Topological space.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/topological%20space. Accessed 21 May. 2022.

Style: MLA
MLACheck Mark Icon ChicagoCheck Mark Icon APACheck Mark Icon Merriam-WebsterCheck Mark Icon

More from Merriam-Webster on topological space

Britannica.com: Encyclopedia article about topological space

WORD OF THE DAY

Test Your Vocabulary

Eponyms: Words Named After People

Name That Thing

Test your visual vocabulary with our 10-question challenge!

TAKE THE QUIZ
Universal Daily Crossword

A daily challenge for crossword fanatics.

TAKE THE QUIZ
Love words? Need even more definitions?

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