Geodesic
Existence of multiplicative structures in the theories of cobordism with singularities
Izvestiya. Mathematics , Tome 9 (1975) no. 5, pp. 1007-1034

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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. 
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     author = {O. K. Mironov},
     title = {Existence of multiplicative structures in the theories of cobordism with singularities},
     journal = {Izvestiya. Mathematics },
     pages = {1007--1034},
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     number = {5},
     year = {1975},
     language = {en},
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O. K. Mironov. Existence of multiplicative structures in the theories of cobordism with singularities. Izvestiya. Mathematics , Tome 9 (1975) no. 5, pp. 1007-1034. http://geodesic.mathdoc.fr/item/IM2_1975_9_5_a4/