What is Continuous function

Each building sets up a topological space in the mathematical sense. Therefore every Building Information Model (BIM) has to store topological information. Such information can be found, for example, in the IFC (Liebich et al. 2005). The volume modelling part of the IFC uses a so-called ‘IfcTopologyResource’ which is a topological model on the local scope of each single building element. At a global scope, the ‘IfcRelConnects’ class and its subclasses are used for the connectivity of the building parts. This chapter presents a generalizing concept which handles both “local” and “global” connectivity information in a common way and provides means to mutually relate them.