Topological properties in terms of functional ideals

Project Details


We give new and unified isomorphic characterizations of approach spaces, pre-approach spaces, convergence approach spaces, uniform gauge spaces, topological spaces, convergence spaces, pretopological spaces, metric spaces and uniform spaces. The unified treatment is made possible by the use of a type of ideals of positive real- valued functions, a concept, richer and more appropriate than filters for our purpose.
Effective start/end date1/10/0730/09/08


  • Mathematics

Flemish discipline codes

  • Mathematical sciences