UDC 514.01
AXIOMS OF HETEROGENEOUS GEOMETRY
Abstract. The study is based on Lobachevski’s hypothesis that the space at different areas satisfies various geometries: Euclidean, non-Euclidean, projective. On the basis of the arithmetic graph theory, three systems of algebraic equations were constructed. The systems are embedded in a discrete metric space in which point is an integer that allows defining a straight line, a plane, and other elements, except for 0.
Keywords: nonclassical geometry, model, geometry, space.
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