Geography and the Properties of Surfaces. The Sandwich Theorem - A Basic One for Geography.

Abstract : The Sandwich Theorem is a fundamental one for Geography. It provides the limiting conditions concerning spatial partitioning. As a theorem it provides information concerning the existence of solutions but not analytical means for finding them. This paper provides geometrical inter- pretations of the nature of the Sandwich Theorem and its relationship to Geography and provides an algorithm and a complete program to achieve 'solutions.' Also included is a translation of one work of Hugo Steinhaus. (Author)