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In the article it is proposed to apply computer topology methods to create effective data structures that will allow storing and processing spatial scenes in n-dimensional space. The basis for the representation of nD-geoobjects is n-dimensional simplexes. For example, the representation of spatial data of high dimension will allow us to describe the topological relationships between 3D objects in time. The mathematical foundations and software for representation and processing of spatial data of high dimension are developed. The algorithm for encoding spatial objects nD in GIS will provide an opportunity to solve a wide range of tasks for processing complex graphic information.

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