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History of homological algebra

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Author(s): Weibel C.
Year: 0

Language: English
Pages: 40

History of homological algebra......Page 1
Riemann and Betti......Page 2
Poincar´e and Analysis Situs......Page 3
Homology of topological spaces (1900–1935)......Page 5
The rise of algebraic methods (1935–1945)......Page 6
Ext of abelian groups......Page 8
Cohomology of Groups......Page 10
Lie algebras......Page 13
Sheaves and Spectral Sequences......Page 15
Chain Complexes......Page 16
Free and Injective resolutions......Page 17
Cartan and Eilenberg: the book......Page 18
Abelian Categories......Page 19
Projective Modules......Page 20
Regular local rings......Page 21
Tor∗(k, k) for local rings......Page 22
Matlis Duality......Page 23
Cohomology Theories in Algebraic Geometry......Page 24
Galois cohomology......Page 25
Derived Categories......Page 26
Homotopical algebra......Page 28
Cohomology of commutative rings......Page 29
Higher algebraic K-theory......Page 30
Cotor for coalgebras......Page 31
Mac Lane Cohomology and Topological Hochschild Homology......Page 32
Cyclic homology......Page 33
REFERENCES......Page 34