Existence of multiplicative structures in the theories of cobordism with singularities

In this paper is presented a proof of the existence of a multiplication in the theories of cobordism with singularities. For theories of cobordism with singularities of one type we investigate the questions of commutativity and associativity.
As a consequence of our proof of the theorem concerning multiplication in unitary cobordism with singularities, we obtain a new construction of an admissible multiplication in the theory of cobordism with coefficients in $Z_q$, and in the Conner–Floyd theory $W_*(\mathbf C,2)$.
Bibliography: 14 titles.