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 Zq, and in the Conner–Floyd theory W∗(C,2).
Bibliography: 14 titles.
Citation:
O. K. Mironov, “Existence of multiplicative structures in the theories of cobordism with singularities”, Math. USSR-Izv., 9:5 (1975), 1007–1034
\Bibitem{Mir75}
\by O.~K.~Mironov
\paper Existence of multiplicative structures in the theories of cobordism with singularities
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 5
\pages 1007--1034
\mathnet{http://mi.mathnet.ru/eng/im2080}
\crossref{https://doi.org/10.1070/IM1975v009n05ABEH001506}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=402784}
\zmath{https://zbmath.org/?q=an:0349.57013}
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https://www.mathnet.ru/eng/im2080
https://doi.org/10.1070/IM1975v009n05ABEH001506
https://www.mathnet.ru/eng/im/v39/i5/p1065
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