nLab
multiplicative cohomology theory

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

A cohomology theory EE is called multiplicative if E (X)E^\bullet(X) is not just a graded abelian group, but actually a graded ring.

This is in particular the case when the spectrum EE representing the cohomology theory is an E-∞ ring spectrum.

Examples

For multiplicative cohomology theories one can consider

See also

Revised on November 18, 2013 07:36:14 by Urs Schreiber (89.204.137.117)