Finite sets in fibres of holomorphic maps
  We consider the maximal number of arbitrary points in a special fibre that can be simultaneously approached by points in one sequence of general fibres. Several results about this topological invariant and their applications describe the structure of holomorphic maps. In particular, we get a lower bound on the number of points in the general fibre of a generically finite map. 
Michal Kwiecinski and Piotr Tworzewski