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Whitehead, in his famous book Process and Reality, proposed a definition of point assuming the concepts of "region" and "connection relation" as primitive. Several years after and independently Grzegorczyk, in a brief but very interesting paper, proposed another definition of point in a system in which the inclusion relation and the relation of being separated were assumed as prim- itive. In this paper we compare their definitions and we show that, under rather natural assumptions, they coincide.

Connection Structures: Grzegorczyk's and Whitehead's Definitions of Point