nLab integral cohomology

Contents

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

Integral cohomology or “ordinary cohomology” (see there) is the ordinary version of Whitehead-generalized cohomology, the one that is represented by the Eilenberg-MacLane spectrum HH \mathbb{Z} with coefficients in the integers.

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

Geometric models

References

Discussion in homotopy type theory:

Last revised on June 15, 2022 at 13:13:50. See the history of this page for a list of all contributions to it.