##  [Connectedness](/connectedness) 

  ##  [Connectedness](https://puremath.quantumdictionary.io/connectedness-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A topological property of a space X meaning X cannot be expressed as the union of two nonempty disjoint open sets; equivalently, the only subsets of X that are both open and closed are ∅ and X.