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Connections, curvature, and cohomology. Vol. I: De Rham cohomology of manifolds and vector bundles. (English) Zbl 0322.58001


MSC:

58-02 Research exposition (monographs, survey articles) pertaining to global analysis
53-02 Research exposition (monographs, survey articles) pertaining to differential geometry
55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology
55Nxx Homology and cohomology theories in algebraic topology
55M25 Degree, winding number
55Rxx Fiber spaces and bundles in algebraic topology
57N65 Algebraic topology of manifolds
57R20 Characteristic classes and numbers in differential topology
57R25 Vector fields, frame fields in differential topology
58Axx General theory of differentiable manifolds