The paper is aimed at studying the topological dimension for sets definable in weakly o-minimal structures in order to prepare background for further investigation of groups, grou...
The preservation of topological properties during digitization is a hard problem in 3 and higher dimensions. Only for the very restricted class of r-regular shapes it is known tha...
To support commonsense reasoning about space, we require a qualitative calculus of spatial entities and their relations. One requirement for such a calculus, which has not so far ...