Bredon

In mathematics, "Bredon" most commonly refers to Glen E. Bredon (1932-2015), an American mathematician known for his work in algebraic topology and transformation groups.

Specifically, Bredon's name is associated with several concepts and results:

• Bredon Cohomology: A generalization of ordinary cohomology to spaces with a group action. It takes into account the equivariant structure of the space and the group acting on it. It uses a coefficient system, which is a functor from the orbit category of the group to abelian groups. Bredon cohomology is a fundamental tool in equivariant topology.

• Bredon's Theorem (on Equivariant CW Structures): This theorem deals with the existence and uniqueness of equivariant CW structures on spaces with group actions. It provides conditions under which a $G$-space can be built up inductively by attaching equivariant cells.

• Bredon Modules: These are modules over the orbit category of a group $G$, used as coefficients in Bredon cohomology.

Bredon's influential textbooks include "Sheaf Theory" (1967, 1997) and "Topology and Geometry" (1993). His work has significantly impacted the development of equivariant topology and related fields.