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Algebraic topology - homotopy and homology. (English) Zbl 0305.55001

Die Grundlehren der mathematischen Wissenschaften. Band 212. Berlin-Heidelberg-New York: Springer-Verlag. XIII, 526 p. DM 122.00; $50.10 (1975).

MSC:

55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology
55-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topology
55Nxx Homology and cohomology theories in algebraic topology
55M05 Duality in algebraic topology
55Pxx Homotopy theory
55Qxx Homotopy groups
55Rxx Fiber spaces and bundles in algebraic topology
55S05 Primary cohomology operations in algebraic topology
55S10 Steenrod algebra
55S20 Secondary and higher cohomology operations in algebraic topology
55Txx Spectral sequences in algebraic topology
57-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to manifolds and cell complexes
57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
57N15 Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)) (MSC2010)
57N55 Microbundles and block bundles
57N65 Algebraic topology of manifolds
57Q05 General topology of complexes
57R20 Characteristic classes and numbers in differential topology
57R75 \(\mathrm{O}\)- and \(\mathrm{SO}\)-cobordism
57T05 Hopf algebras (aspects of homology and homotopy of topological groups)