Sheaf Theory
An abelian category is a type of category in mathematics that has enough structure to allow for the definition of concepts like kernels, cokernels, and exact sequences. This framework enables the use of homological algebra, where derived functors can be studied in depth. The presence of a zero object and the ability to form finite limits and colimits are also essential features, making abelian categories a foundational concept in the study of derived functors and their applications.
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