This article is cited in 7 papers

Existence of multiplicative structures in the theories of cobordism with singularities

O. K. Mironov


Abstract: 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.

UDC: 513.8

MSC: Primary 57D90; Secondary 55B20

Received: 03.12.1974

 English version: Mathematics of the USSR-Izvestiya, 1975, 9:5, 1007–1034

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