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In [[Category_theory|category theory]], the '''cohomology''' of an [[Exact_sequence|exact sequence]] studies the relationship between the [[Cokernel|cokernels]] and [[Coimages|coimage]], when it is possible to take their [[Quotient|quotient]]. Cohomology is the category-theoretic [[Dual|dual]] of [[Homology|homology]].
Well-known examples include [[de_Rham_cohomology|de Rham cohomology]] in [[Differential_geometry|differential geometry]], [[Elliptic_curve|elliptic curve]] cohomology, and [[Hyperbola|hyperbolic]] cohomology of infinite [[Abelian]] [[Group|groups]].
[[Category:Mathematics]]