The article is devoted to the analysis of urban “highways-barriers” (on the example of the South-West of Moscow) – the largest highways and railways, which are characterized by a combination of a high level of contact and barrier functions. Three of their key functions are identified: limiting, stabilizing, function of unevenness and no equilibrium growth. The main transport hubs have been identified on the basis of which highway barriers are divided according to the degree of contact (barrier) into three categories. It is shown that, as a rule, the larger the spatial size of the highway-barrier, the larger its volume of traffic flow, however, there are many exceptions. In the South-West of Moscow, with a relatively even settlement, the placement of metro stations plays a key role in overcoming the barrier. On less significant highways, the role of metro stations in overcoming the barrier is especially great. In some areas, highways-barriers form barrier topological tiers. A key feature of the South-West of Moscow is the presence of two barrier tiers. Inside the first barrier tier there are objects that mark it as a special urban area. A characteristic part of the first tier is the approach to the periphery in the area where Leninsky Prospekt and Vernadsky Prospekt meet. The second barrier tier is quite small and in- cludes the area between the Cheremushkinskiy market and Profsoyuznaya street. The existing system of highways-barriers was formed by the time of registration in 1968–1970. South-West of Moscow as a whole and manifests itself at the present time.
Desingularization of binomial varieties in arbitrary characteristic. Part I. A new resolution function and their properties
