The Su-Schrieffer-Heeger model is perhaps the simplest model with topological edge stages, states that are an essential property of materials known as topological insulators. In this talk, I will briefly describe the SSH model and will discuss edge states in a finite isolated SSH chain and also in a chain with leads attached to the ends. The effect of the leads on the details of the states, and in particular on the energy spectrum, will be discussed. As the SSH-lead coupling constant varies, a transition akin to a topological phase transition is observed. More specifically, the spectrum of the SSH chain changes from nontrivial to trivial (or vice versa), the most prominent sign being the disappearance (or appearance) of edge states.