  We give an answer to the question given by T.Y.Kong in his article "Can 3-D
Digital Topology be Based on Axiomatically Defined Digital Spaces?" In this
article he asks the question, if so called "good pairs" of neighborhood
relations can be found on the set Z^n such that the existence of digital
manifolds of dimension n-1, that separate their complement in exactly two
connected sets, is guaranteed. To achieve this, we use a technique developed by
M. Khachan et.al. A set given in Z^n is translated into a simplicial complex
that can be used to study the topological properties of the original discrete
point-set. In this way, one is able to define the notion of a (n-1)-dimensional
digital manifold and prove the digital analog of the Jordan-Brouwer-Theorem.
