Space with finitely many connected components

Definition
A space with finitely many connected components is a topological space satisfying the following equivalent conditions:


 * 1) It has finitely many connected components.
 * 2) It can be expressed as a disjoint union of finitely many pairwise disjoint clopen subsets each of which is a connected space with the subspace topology.
 * 3) It has finitely many clopen subsets (the clopen subsets will precisely be all possible unions of the connected components).