Grothendieck's theorem

(Theorem)

Theorem 0.1. Grothendieck’s theorem: “Every 𝒜b5 category with a generator has an injective cogenerator” (Grothendieck 1957).

This initial statement of Grothendieck’s theorem is now restated as:

Theorem 0.2. Every Grothendieck category 𝒢 has an injective cogenerator.

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Keywords:

Grothendieck's theorem

Cross-references: injective, Grothendieck category
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This is version 1 of Grothendieck's theorem, born on 2009-02-16.
Object id is 526, canonical name is GrothendiecksTheorem.
Accessed 1843 times total.

Classification:

Physics Classification:	00. (GENERAL)
	02. (Mathematical methods in physics)
	03. (Quantum mechanics, field theories, and special relativity )
	03.65.Fd (Algebraic methods )

Pending Errata and Addenda