Jump to content

Cocycle

From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by 2001:861:3ac0:4fa0:25d3:d93e:587e:c02c (talk) at 19:21, 7 November 2020. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In mathematics a cocycle is a closed cochain. Cocycles are used in algebraic topology to express obstructions (for example, to integrating a differential equation on a closed manifold). They are likewise used in group cohomology. In autonomous dynamical systems, cocycles are used to describe particular kinds of map, as in the Oseledec theorem.

See also