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The Hopf ring for complex cobordism. (English) Zbl 0294.57022

MSC:
57R90 Other types of cobordism
14L05 Formal groups, \(p\)-divisible groups
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
18D35 Structured objects in a category (MSC2010)
55R20 Spectral sequences and homology of fiber spaces in algebraic topology
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
57T05 Hopf algebras (aspects of homology and homotopy of topological groups)
57T25 Homology and cohomology of \(H\)-spaces
57T35 Applications of Eilenberg-Moore spectral sequences
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[1] J. P. May, The work of J. F. Adams, Adams Memorial Symposium on Algebraic Topology, 1 (Manchester, 1990) London Math. Soc. Lecture Note Ser., vol. 175, Cambridge Univ. Press, Cambridge, 1992, pp. 1 – 27. · Zbl 0753.55001 · doi:10.1017/CBO9780511526305.003 · doi.org
[2] Edgar H. Brown Jr. and Franklin P. Peterson, A spectrum whose \?_\? cohomology is the algebra of reduced \?^\?\? powers, Topology 5 (1966), 149 – 154. · Zbl 0168.44001 · doi:10.1016/0040-9383(66)90015-2 · doi.org
[3] Daniel Quillen, On the formal group laws of unoriented and complex cobordism theory, Bull. Amer. Math. Soc. 75 (1969), 1293 – 1298. · Zbl 0199.26705
[4] R. E. Stong, Cobordism of maps, Topology 5 (1966), 245 – 258. · Zbl 0144.22702 · doi:10.1016/0040-9383(66)90009-7 · doi.org
[5] R. M. Switzer, Homology comodules, Invent. Math. 20 (1973), 97 – 102. · Zbl 0255.55011 · doi:10.1007/BF01404059 · doi.org
[6] W. Stephen Wilson, The \Omega -spectrum for Brown-Peterson cohomology. I, Comment. Math. Helv. 48 (1973), 45 – 55; corrigendum, ibid. 48 (1973), 194. · Zbl 0256.55007 · doi:10.1007/BF02566110 · doi.org
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