Weak Contact Structures

  title={Weak Contact Structures},
  author={Ivo D{\"u}ntsch and Michael Winter},
In this paper we investigate weak contact relations C on a latticeL, in particular, the relation between various axioms for contact, and their connection to the algebraic structure of the lattice. Furthermore, we will study a notion of orthogonality which is motivated by a weak contact relation in an inner product space. Although this is clearly a spatial application, we will show that, in case L is distributive andC satisfies the orthogonality condition, the only weak contact relation onL is… CONTINUE READING

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