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Homology, Cohomology, And Sheaf Cohomology For Algebraic Topology, Algebraic Geometry, And Differential Geometry (Hardcover)
Loot Price: R4,160
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Homology, Cohomology, And Sheaf Cohomology For Algebraic Topology, Algebraic Geometry, And Differential Geometry (Hardcover)
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For more than thirty years the senior author has been trying to
learn algebraic geometry. In the process he discovered that many of
the classic textbooks in algebraic geometry require substantial
knowledge of cohomology, homological algebra, and sheaf theory. In
an attempt to demystify these abstract concepts and facilitate
understanding for a new generation of mathematicians, he along with
co-author wrote this book for an audience who is familiar with
basic concepts of linear and abstract algebra, but who never has
had any exposure to the algebraic geometry or homological algebra.
As such this book consists of two parts. The first part gives a
crash-course on the homological and cohomological aspects of
algebraic topology, with a bias in favor of cohomology. The second
part is devoted to presheaves, sheaves, Cech cohomology, derived
functors, sheaf cohomology, and spectral sequences. All important
concepts are intuitively motivated and the associated proofs of the
quintessential theorems are presented in detail rarely found in the
standard texts.
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