Special and general types
What is usually called “generalized cohomology” is obtained from a generalization of the axioms of Eilenberg–Steenrod.
By Brown's representability theorem this is equivalent to cohomology with coefficient object a spectrum. See
Notice that there are “generalizations of generalized cohomology”. See the discussion at cohomology.
Revised on August 29, 2012 14:03:49
by Urs Schreiber