Differential forms in algebraic topology. (English) Zbl 0496.55001

Graduate Texts in Mathematics, 82. New York - Heidelberg - Berlin: Springer-Verlag. XIV, 331 p., 92 figs. DM 74.00; $ 32.20 (1982).


55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology
58-02 Research exposition (monographs, survey articles) pertaining to global analysis
58A12 de Rham theory in global analysis
57R20 Characteristic classes and numbers in differential topology
55N05 Čech types
55N10 Singular homology and cohomology theory
55R05 Fiber spaces in algebraic topology
55R10 Fiber bundles in algebraic topology
55R15 Classification of fiber spaces or bundles in algebraic topology
55R20 Spectral sequences and homology of fiber spaces in algebraic topology
55R25 Sphere bundles and vector bundles in algebraic topology
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
55T05 General theory of spectral sequences in algebraic topology
55T10 Serre spectral sequences
55P62 Rational homotopy theory
55P20 Eilenberg-Mac Lane spaces
55Q05 Homotopy groups, general; sets of homotopy classes
55Q25 Hopf invariants
55Q40 Homotopy groups of spheres
57R19 Algebraic topology on manifolds and differential topology
57R25 Vector fields, frame fields in differential topology
58A05 Differentiable manifolds, foundations
58A10 Differential forms in global analysis