Weibel - History of Homological Algebra

Available online at http://www.math.uiuc.edu/K-theory/0245/survey.pdf, http://www.math.rutgers.edu/~weibel/HA-history.dvi

=Introduction=

=Betti numbers, Torsion Coefficients and the rise of Homology=

Riemann and Betti

 * Definition of (n+1)-fold connectedness: This definition is correct but somewhat subtle in its logic.  "Maximal" is really meant in the sense of posets, even if it first appears that it doesn't.  Note that it reads *any subset of C* and NOT *any proper subset of C*.

The rise of algebraic methods (1935-1945).
=Homology and cohomology of algebraic systems=

Sheaves and Spectral Sequences
=The Cartan-Eilenberg Revolution=

Abelian Categories
=After the Cartan-Eilenberg Revolution=

Derived Categories
=Simplicial Methods=