scientific article

zbMath0675.55002MaRDI QIDQ3994678

Loring W. Tu

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Morse theoryrational homotopy theoryvector bundlesde Rham cohomologyspectral sequencesEuler classcharacteristic classesCech cohomologyHopf fibrationHopf invariantEilenberg-MacLane spacesGysin sequenceThom classde Rham theorytransgressive elementstwisted de Rham complexThom isomorphismPoincare dualityLeray-Hirsch theoremEilenberg-Steenrod axiomsHopf index theoremintegration of differential formsintegration along the fiberPostnikov approximationuniversal coefficient theoremsHurewicz isomorphismsingular (co)homologyKuenneth formulaStoke's theoremČech-de Rham complexcohomology of loop spacescohomology of complex projective spaceshomotopy groups of a spherePoincare lemmasvertical cohomology

Mathematics Subject Classification ID

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

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