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An abstract Algebra concerned with results valid for many different kinds of Spaces.
References
Hilton, P. and Stammbach, U.  A Course in Homological Algebra, 2nd ed.  New York:
  Springer-Verlag, 1997.
 
Weibel, C. A.  An Introduction to Homological Algebra.  New York: Cambridge University
  Press, 1994.