Integral cohomology or “ordinary cohomology” (see there) 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.
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 .
Last revised on February 17, 2019 at 05:50:39. See the history of this page for a list of all contributions to it.