Residue curve maps of quaternary or multicomponent mixtures is difficult to explore because natural imagination cannot be used in these cases. Instead, use of combinatorial topology is suggested. Non-existence of degenerated singularities is supposed and the trajectory bundles are analyzed. Based on some bounding properties of the directed cycles, occurring in the analyzed structures, a combinatorial algorithm is sketched for determining the k-dimension separatrices and the bounded distillation regions.