cohomology theory


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cohomology theory

[kō·hō′mäl·ə·jē ′thē·ə·rē]
(mathematics)
A theory which uses algebraic groups to study the geometric properties of topological spaces; closely related to homology theory.
References in periodicals archive ?
In this context, a regulator is a map from the algebraic K-theory of an algebraic variety to a suitable cohomology theory such as etale cohomology or Deligne cohomology.
The text begins with basic notions in homotopy theory and introduction to the axioms of generalized cohomology theory.