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Algebraic cohomology: The early days

Algebraic cohomology: The early days

This paper will survey the various definitions of homology theories from the first Eilenberg-Mac Lane theories for group cohomology through the Cartan-Eilenberg attempt at a uniform (co-)homology theory in algebra, cotriple cohomology theories and the various acyclic models theorems that tied them all together (as much as was possible).