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Elementary proofs of some results of cobordism theory using Steenrod operations. (English) Zbl 0214.50502

##### MSC:
 57N70 Cobordism and concordance in topological manifolds 55N22 Bordism and cobordism theories and formal group laws in algebraic topology
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##### References:
 [1] Atiyah, M.F; Segal, G.B, The index of elliptic operators, II, Ann. of math., 87, 531-545, (1968) · Zbl 0164.24201 [2] Conner, P.E; Floyd, E.E, The relation of cobordism to K-theories, () · Zbl 0161.42802 [3] {\scP. E. Conner and L. Smith}, On the complex bordism of finite complexes, to appear. · Zbl 0192.60201 [4] Demazure, M, Motifs des variétés algébriques, (), No. 365 · Zbl 0247.14004 [5] Fröhlich, A, Formal groups, () · Zbl 0177.04801 [6] Landweber, P.S, Cobordism operations and Hopf algebras, Trans. amer. math. soc., 129, 94-110, (1967) · Zbl 0169.54602 [7] Lazard, M, Sur LES groupes de Lie formels à un paramètre, Bull. soc. math. France, 83, 251-274, (1955) · Zbl 0068.25703 [8] Milnor, J, On the cobordism ring ω∗ and a complex analogue, part I, Amer. J. math., 82, 505-521, (1960) · Zbl 0095.16702 [9] Novikov, P.S, Operation rings and spectral sequences of the Adams type in extraordinary cohomology theories: U-cobordism and K-theory, Dokl. akad. nauk SSSR, Soviet math. dokl., 8, 27-31, (1967) · Zbl 0155.50902 [10] Quillen, D, On the formal group laws of unoriented and complex cobordism theory, Bull. amer. math. soc., 75, 1293-1298, (1969) · Zbl 0199.26705 [11] Steenrod, N.E; Epstein, D.B.A, Cohomology operations, (1962), Princeton Univ. Press Princeton, N. J · Zbl 0521.55001 [12] Thom, R, Quelques propriétés globales des variétés différentiables, Comm. math. helv., 28, 17-86, (1954) · Zbl 0057.15502 [13] Thom, R, Travaux de Milnor sur le cobordism, () · Zbl 0116.40402 [14] tom Dieck, T, Steenrod-operationen in kobordismen-theorien, Math. Z., 107, 380-401, (1968) · Zbl 0167.51801 [15] tom Dieck, T, Bordism of G-manifolds and integrality theorems, () · Zbl 0209.27504 [16] tom Dieck, T, Kobordismen-theorie und transformationsgruppen, () [17] Adams, J.F, Quillen’s work on formal group laws and complex cobordism, (1970), University of Chicago Chicago, Ill · Zbl 0238.55007
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