GENERALIZED KINEMATIC SPACES FOR THE PRESENTATION OF THREE-DIMENSIONAL OBJECTS

Abstract

The subject of this article is generalized kinematic spaces with the ability to control the movement of stretched sets. The goal of the work is to determine a class of such spaces for convenient computer simulation of movement in three-dimensional space. For this purpose, the concept of a multilayer two-dimensional generalized kinematic space is introduced. Each of the objects has its number and is located in the corresponding layer. A system of axioms for such spaces is constructed; it extends the known system of axioms for generalized kinematic topological spaces. The obtained result contributes to the general theory of virtual topological spaces with controlled natural movement of objects implemented on a computer being created in Kyrgyzstan. This result can be used to build software that makes it possible to effectively represent various objects and the relationships between them for scientific and educational purposes.