Part One: Vector Sheaves. General Theory. I. Sheaf Theory. II. II. Sheaves and Presheaves with Algebraic Structure. III. Sheaf Cohomology. IV. Linear and Multilinear Algebra of Vector Sheaves. V. Vector Sheaves and Cohomology. Appendix: Category Jargon. Bibliography. Notational Index. Subject Index. Part Two: Geometry. VI. Geometry of Vector Sheaves. A-Connections. VII. A-Connections. Local Theory. VIII. Curvature. IX. Characteristic Classes. Part Three: Examples and Applications. X. Classical Theory. XI. Sheaves and Presheaves with Topological Algebraic Structures. Bibliography. Notational Index. Subject Index.
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