What does "connected space" mean?

Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.

What is a synonym for "connected space"?

Common synonyms include: continuous habitat, networked space.

noun

noun ·Rare ·Advanced level

Noun

1
Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.