Stack (mathematics)

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Stack in mathematics refers to two category-theoretical concepts, which are connected to each other:

• Stack in general is a fibred category that satisfies sheaf-type glueing axioms; they are a key concept in formalising descent theory
• Algebraic stacks are very specific types of stacks, which provide for an extension of the categories of schemes and algebraic spaces; they are particularly central in the study of moduli spaces.

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