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

@article{Biacino1996ConnectionSG,
  title={Connection Structures: Grzegorczyk's and Whitehead's Definitions of Point},
  author={L. Biacino and Giangiacomo Gerla},
  journal={Notre Dame J. Formal Log.},
  year={1996},
  volume={37},
  pages={431-439}
}
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… Expand
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