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Literature Cited
S. P. Novikov, “The methods of algebraic topology from the point of view of cobordism theory,” Izv. Akad. Nauk SSSR, Ser. Mat.,31, No. 4, 855–951 (1967).
V. V. Vershinin, Multiplication in the Adams Extraordinary Spectral Sequence [in Russian], Deposited in the All-Union Institute of Scientific-Technical Information, No. 2251-77; Annotation: Sib. Mat. Zh.,19, No. 3 708 (1978).
N. Ray, “Some results in generalized homotopy, K-theory and bordism,” Proc. Cambridge Philos. Soc.,71, No. 2, 283–300 (1972).
V. V. Vershinin, “On the symplectic cobordism ring,” in: Abstracts of Reports and Communications [in Russian], International Topological Conference, Moscow (1979), p. 32.
V. V. Vershinin, “On the Adams-Novikov spectral sequence for the spectrum MSp,” Preprint of the Mathematics Institute, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk (1977).
V. V. Vershinin, “S. P. Novikov's algebraic spectral sequence for the spectrum MSp,” Sib. Mat. Zh.,21, No. 1, 26–43 (1980).
N. Ray, “Indecomposable in Tors MSp*,” Topology,10, No. 4, 261–270 (1971).
P. S. Landweber, “Cobordism operations and Hopf algebras,” Trans. Am. Math. Soc.,129, No. 1, 94–110 (1967).
R. Okita, “On the MSp Hattori-Strong problem,” Osaka J. Math.,13, No. 3, 547–566 (1967).
J. C. Alexander, “Cobordism Massey products,” Trans. Am. Math. Soc.,166, 197–214 (1972).
Additional information
Mathematics Institute, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 24, No. 1, pp. 50–62, January–February, 1983.
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Vershinin, V.V. Computation of the symplectic cobordism ring in dimensions up to 32 and nontriviality of majority of triple products of Ray elements. Sib Math J 24, 41–51 (1983). https://doi.org/10.1007/BF00968794
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DOI: https://doi.org/10.1007/BF00968794