Space in which the connected components coincide with the quasicomponents

Definition
A space in which the connected components coincide with the quasicomponents is a topological space satisfying the following equivalent conditions:


 * 1) Each quasicomponent is connected with the subspace topology.
 * 2) Each connected component is a quasicomponent.
 * 3) Each quasicomponent is a connected component.
 * 4) The connected components and quasicomponents coincide.