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Mat. Sb. (N.S.), 1975, Volume 96(138), Number 4, Pages 523–542 (Mi msb3404)  

This article is cited in 5 scientific papers (total in 5 papers)

Formal groups and bordisms with singularities

Yu. B. Rudyak


Abstract: For a certain class of rings it is shown that any formal group over a ring in the class can be realized as the formal group of a generalized cohomology theory, and that a multiplicative theory with the ring of a point in this same class is uniquely determined by its formal group. The results are applied to prove a theorem of Conner–Floyd type concerning the preservation of exactness by certain integral genera.
Bibliography: 19 titles.

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English version:
Mathematics of the USSR-Sbornik, 1975, 25:4, 487–505

Bibliographic databases:

UDC: 513.836
MSC: Primary 55B20; Secondary 57D90, 14L05
Received: 19.02.1974

Citation: Yu. B. Rudyak, “Formal groups and bordisms with singularities”, Mat. Sb. (N.S.), 96(138):4 (1975), 523–542; Math. USSR-Sb., 25:4 (1975), 487–505

Citation in format AMSBIB
\Bibitem{Rud75}
\by Yu.~B.~Rudyak
\paper Formal groups and bordisms with singularities
\jour Mat. Sb. (N.S.)
\yr 1975
\vol 96(138)
\issue 4
\pages 523--542
\mathnet{http://mi.mathnet.ru/msb3404}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=400207}
\zmath{https://zbmath.org/?q=an:0329.55004}
\transl
\jour Math. USSR-Sb.
\yr 1975
\vol 25
\issue 4
\pages 487--505
\crossref{https://doi.org/10.1070/SM1975v025n04ABEH002458}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. O. K. Mironov, “Existence of multiplicative structures in the theories of cobordism with singularities”, Math. USSR-Izv., 9:5 (1975), 1007–1034  mathnet  crossref  mathscinet  zmath
    2. Yu. B. Rudyak, “On theorems of Conner–Floyd type in the theory of unitary cobordism”, Math. USSR-Izv., 12:3 (1978), 605–616  mathnet  crossref  mathscinet  zmath
    3. O. K. Mironov, “Multiplications in cobordism theories with singularities, and Steenrod–Tom Dieck operations”, Math. USSR-Izv., 13:1 (1979), 89–106  mathnet  crossref  mathscinet  zmath  isi
    4. V. V. Vershinin, “Symplectic cobordism with singularities”, Math. USSR-Izv., 22:2 (1984), 211–226  mathnet  crossref  mathscinet  zmath
    5. Nowinski K., “Unitary Bordisms with Singularities Determined by U-Star-Complex”, Math. Proc. Camb. Philos. Soc., 95:MAY (1984), 443–455  crossref  mathscinet  zmath  isi
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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