Madsen, Ib; Milgram, R. James The classifying spaces for surgery and cobordism of manifolds. (English) Zbl 0446.57002 Annals of Mathematics Studies, 92. Princeton, New Jersey: Princeton University Press; University of Tokyo Press. XII, 280 p. $ 20.00 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 92 Documents MSC: 57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes 57N70 Cobordism and concordance in topological manifolds 57Q20 Cobordism in PL-topology 57R65 Surgery and handlebodies 57T25 Homology and cohomology of \(H\)-spaces 57T35 Applications of Eilenberg-Moore spectral sequences 57R67 Surgery obstructions, Wall groups 57Q60 Cobordism and concordance in PL-topology 55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology 55P47 Infinite loop spaces 55R25 Sphere bundles and vector bundles in algebraic topology 55R35 Classifying spaces of groups and \(H\)-spaces in algebraic topology 55R40 Homology of classifying spaces and characteristic classes in algebraic topology 55R50 Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory 55T20 Eilenberg-Moore spectral sequences 55T99 Spectral sequences in algebraic topology Keywords:bordism rings of piecewise linear and topological manifolds; classifying space for topological sphere bundles away from 2; characteristic classes; cobordism; simply connected surgery; mod 2 spherical characteristic classes; infinite loop space theory; G/TOP; delooping; cohomology of BPL and BTOP; PL genus; integrality; Bockstein spectral sequence; relations involving Milnor manifolds PDF BibTeX XML Full Text: DOI OpenURL