nLab
generalized cohomology

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

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 (82.113.106.192)