To save this word, you'll need to log in.
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
Keep scrolling for more
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).
Test Your Vocabulary
More Confusing Words—Quiz
- The magician
______moved the selected card to the top of the deck.
Can you spell these 10 commonly misspelled words?
TAKE THE QUIZ
Test Your Knowledge - and learn some interesting things along the way.
TAKE THE QUIZLove words? Need even more definitions?
Merriam-Webster unabridgedWords at Play
Ask the Editors
Word Games
- More Confusing Words—Quiz
How many of these commonly confused words do you know?
Take the quiz - Name that Thing: Toys and Games Edition
It's all fun and games until someone beats your high score.
Take the quiz - Spell It
Can you spell these 10 commonly misspelled words?
Take the quiz - Citation
Do you know the person or title these quotes describe?
Play the game
Share topological space
Time Traveler for topological space
The first known use of topological space was in 1926
See more words from the same year