# Category:Clopen Sets

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This category contains results about Clopen Sets in the context of Topology.

Let $T = \struct {S, \tau}$ be a topological space.

Let $X \subseteq S$ such that $X$ is both open in $T$ and closed in $T$.

Then $X$ is described as **clopen**.

## Pages in category "Clopen Sets"

The following 15 pages are in this category, out of 15 total.

### C

- Clopen Points in Arens-Fort Space
- Clopen Points in Fort Space
- Clopen Set and Complement form Separation
- Clopen Set contains Components of All its Points
- Clopen Sets in Modified Fort Space
- Complement of Clopen Space is Clopen
- Component of Point is not always Intersection of its Clopen Sets
- Condition on Connectedness by Clopen Sets