Bordism of regularly defective maps
To a topological space V we assign the bordism group of regularly defective maps from closed manifolds to V. The defective bordism groups of V are isomorphic to the ordinary bordism groups of the defect complex of V. The defective bordism classes are detected by characteristic numbers twisted with cohomology classes of the defect complex. Some of these numbers can be geometrically described i.e. without reference to the defect complex.