Completing the book, authors console themselves with a hope, that they managed to convince the reader in a miracle efficiency of topological methods, especially when applied to particle physics. Tony Skyrme is now widely recognized as a pioneer in the field, being able to disclose a wide spectrum of topology resources in description of still so unfamiliar microcosm events. His deep intuition, bright mathematical talent and far reaching physical ideas allowed him to discover the crucial role of topological stability in nuclear matter. This important observation became a cornerstone in construction of the nuclear model, bearing at present Skyrme’s name and providing one with an amazingly simple description of fundamental properties of baryons. While being historically the first known example of nonlinear chiral model, the Skyrme model substantially predates and in much supplies the results obtained later on in the framework of Quantum Chromodynamics. As it turned out, the well-known distinction between fermionic and bosonic states in quantum theory has the evident topological background. The analysis of interrelations between QCD on one side and the chiral models on the other, performed by t’Hooft and Witten, showed the necessity to supply the Skyrme action with the multivalued topological term, known as the Wess-Zumino term. The subsequent semi-classical quantization via Bogolubov’s method of the SU(3) generalized Skyrme-Witten model leads to a natural explanation of the observed baryon mass spectrum, in particular picking out two principal multiplets, i.e. the octet and the decouplet of baryons.