Transitive Maps on Topological Spaces
In the present paper, we consider the problem of existence of nonequivalent definitions of topological transitivity, which is a classical problem of the topological dynamics. In particular, we use the fact that all available definitions of this kind imply a condition imposed on the dynamical system. The main result of our investigations is the complete classification of these dynamical systems.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 9, pp 1293-1318.
Citation Example: Bilokopytov E., Kolyada S. F. Transitive Maps on Topological Spaces // Ukr. Mat. Zh. - 2013. - 65, № 9. - pp. 1163–1185.