Region–based theory of discrete spaces: A proximity approach

@article{Dntsch2007RegionbasedTO,
  title={Region–based theory of discrete spaces: A proximity approach},
  author={Ivo D{\"u}ntsch and Dimiter Vakarelov},
  journal={Annals of Mathematics and Artificial Intelligence},
  year={2007},
  volume={49},
  pages={5-14}
}
We introduce Boolean proximity algebras as a generalization of Efremovič proximities which are suitable in reasoning about discrete regions. Following Stone’s representation theorem for Boolean algebras, it is shown that each such algebra is isomorphic to a substructure of a complete and atomic Boolean proximity algebra. 

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