Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) (Russian) Zbl 0675.55002
Moskva: Nauka. 336 p. R. 3.20 (1989).
See the review of the English original (New York, 1982) in Zbl 0496.55001.
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 |