Cohomology and Differential Forms

This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. A self-contained development of the theory constitutes the central part of the book. Topics include categories and functions, sheaves and cohomology, fiber and vector bund [...]
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This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. A self-contained development of the theory constitutes the central part of the book. Topics include categories and functions, sheaves and cohomology, fiber and vector bundles, and cohomology classes and differential forms. 1973 edition.