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The article presents the results of the author’s study of single-industry territories within the framework of the fractal approach. The relevance of the researching is since the risk management of mono-profile is one of the most important elements of differentiated management impact on the socio-economic system of the territory to ensure its harmonious development. The aim of the work is to assess the risks of single-industry using elements of a fractal approach to the study of the social and economic space of mono-territories. The methodological basis for the application of the fractal approach is based not on a geometric cut, but on its structural and semantic content. This assumption also considers the significant nonlinearity of development processes and environmental influences in socio-economic systems. In this context, the researching is presented as a generator of scientific novelty. This formed the basis for the fractal grouping of single-industry territories of the Chelyabinsk region. During the research, fractal properties of socio-economic systems were identified, such as hierarchical certainty; self-similarity/presence of an element that repeats itself on a decreasing scale; unevenness/fragmentation; intersection of different fractal models in the socio-economic space; the presence of multiple control centers; openness. This researching confirms that the high risks of socio-economic development of a single-industry settlement are caused not only by the formation of a poorly diversified local labor market, but also by the strong dependence of the municipal utilities on the infrastructure facilities of the main city-forming enterprise, and the municipal budget on tax and non-tax revenues of the city-forming enterprise. To analyze the risk component, the work compared the level of employment in large and medium-sized enterprises with indicators of small business development, which was assessed based on the turnover indicator of small and medium-sized enterprises. The learning of the risks of single-industry allowed dividing the single-industry towns of the Chelyabinsk region into 3 groups, each of which is described from the standpoint of the availability of resources for diversifying the socio-economic system and choosing priority areas for development. In addition, the results of the study of single-industry settlements in the Chelyabinsk region actualize the need to transform the space of the territory through changes in the localization nature and fractal properties of the economic and social environment. The continuation of the researching is implemented in the algorithmization of the process of diversification of single-industry territories, contributing to the growth of its competitive advantages, and, consequently, capacity building.

RISK MANAGEMENT FOR SINGLE-INDUSTRY TERRITORIES WITHIN A FRACTAL APPROACH