Information quanta and approximation spaces II: generalised approximation spaces

In the first part we have introduced non-classical upper and lower approximations of subsets of objects or properties, on the basis of the properties featured by Galois adjunctions between intensional and extensionnal operators. In the present part we introduce the higher order notions of an "information quantum" an "information quantum relational system" which make adjoint operators into continuous approximation operators and make it possible to define a class of topological approximation spaces.