Abstract

In this paper we give a definition of a Mobius-space (i.e. a system of “points” and “circles”) and establish a higher-dimensional circle-geometry analogous to the synthetic construction of projective geometry. For each point of a Mobius-space there exists an affine substructure, the dimension of which is equal to that of the Mobius-space. A Mobius-space of dimension ≥3 is egglike, hence its spheres satisfy the Bundle Theorem [12], p. 758.

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