A topological inevitability of early developmental events through the use of classical topological concepts is discussed. Topological dynamics of forms and maps in embryo development are presented. Forms of a developing organism such as cell sets and closed surfaces are topological objects. Maps (or mathematical functions) are additional topological constructions in these objects and include polarization, singularities and curvature. Topological visualization allows us to analyze relationships that link local morphogenetic processes and integral developmental structures and also to find stable spatio-temporal topological characteristics that are invariant for a taxonomic group. The application of topological principles reveals a topological imperative: certain topological rules define and direct embryogenesis. A topological stability of embryonic morphogenesis is proposed and a topological scenario of developmental and evolutionary transformations is presented.
Abstract. In the Russian Empire during XIX and early XX centuries, fortresses were built and strengthened along the frontiers. We studied the architecture of the Far Eastern Russian cities-fortresses using as examples Nikolaevsk-on-Amur, Port Arthur (now Luishun) and mainly Vladivostok. Coastal fortresses significantly influenced the urban development of the Far Eastern cities. The architectural peculiarity of the fortress architecture at that period was associated with the transition from the brick and stone fortifications to the complex systems of monolithic reinforced concrete.
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