# nLab integral cohomology

Integral cohomology or “ordinary cohomology” is the ordinary version of generalized (Eilenberg-Steenrod) cohomology, the one that is represented by the Eilenberg-MacLane spectrum.

Integral cohomology is best known maybe in its incarnation as singular cohomology or Čech cohomology with coefficients in the integers.

# Geometric models

• integral cohomology in degree 1 classifies complex line bundle;

• integral cohomology in degree 2 classifies complex line bundle gerbe / line 2-bundles;

• integral cohomology in degree $n$ classifies line n-bundles .

Revised on December 19, 2009 03:21:02 by Toby Bartels (173.60.119.197)