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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1975 Volume 96(138), Number 4, Pages 523–542 (Mi sm3404)

This article is cited 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.

UDC: 513.836

MSC: Primary 55B20; Secondary 57D90, 14L05

Received: 19.02.1974


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

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© Steklov Math. Inst. of RAS, 2026