## 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).

### MSC:

 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

### Citations:

Zbl 0442.55001; Zbl 0047.167