nLab
ordinary cohomology

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

One says ordinary cohomology for the cohomology theory represented by the Eilenberg-MacLane spectrum K(𝔸) for some abelian group A.

This is to distinguish from more general notions of cohomology, such as generalized (Eilenberg-Steenrod) cohomology and nonabelian cohomology.

Properties

Ordinary cohomology is modeled by singular cohomology.

Revised on August 31, 2012 16:54:52 by Urs Schreiber (89.204.139.6)