Topological Solitons

These are notes of the first part of the lectures on topological solitons, presented on Baikal Summer School on Physics of Elementary Particles and Astrophysics (July 2011). I review some of the basic properties of topological solitons on a simple model example of simple one-dimensional kink solution of the non-integrable scalar phi(4) model. I discuss both perturbative and non-perturbative sectors of the model, oscillon solution and resonance structures in the soliton collision.