Projective Systems of Noncommutative Lattices as a Pregeometric   Substratum
  We present an approximation to topological spaces by {\it noncommutative} lattices. This approximation has a deep physical flavour based on the impossibility to fully localize particles in any position measurement. The original space being approximated is recovered out of a projective limit. 
Giovanni Landi, Fedele Lizzi