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Homogenity versus finiteness

: Budach, L.

International Association Geomagnetism and Aeronomy -IAGA-, Interdivisional Commission on History, Bremen:
The earth and the universe. A Festschrift in honour of Hans-Jürgen Treder
Bremen, 1993 (Newsletters of the Interdivisional Commission on History of IAGA 20)
Book Article
Fraunhofer ISST ()
general relativity; Mach principle

The relationship between basic physical assumptions as homogeneity of space on the one hand and local finiteness of the world on the other hand, is investigated. It is proved that there is sort of uncertainly relation between homogeneity and local finiteness: Geometric results, well known for Euclidian spaces as the Jordan theorem for simple curves are not true in finite homogeneous spaces. But for a weakened definition of homogeneity all important topological results remain true for locally finite topological spaces.