The problem of analysis of nonlinear dynamics of financial and economic systems, in particular, of dynamics of bank business activity structure in Lviv region is considered. The study of bank activity structure alteration in Lviv region is presented on the basis of topological design. Topological spaces are built on a single segment with a natural topology, where the limits of quality estimations of business activity indices are represented as the ends of intervals. The reflection of the range of coefficients in built topological spaces is defined in such a way that the reverse reflections factorize the range of coefficients in accordance with the chosen quality estimations of indices. 

analysis of nonlinear dynamics, dynamics of structure, business activity, banks of Lviv region, topology, factorization, quality analysis