PlanetPhysics/C 3CategoryGeneratorsCorollary

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\begin{corollary}(Corollary 1.4 in ref. [1])

Let be an object with a family of generators in a -category. Then, the finitely generated subobjects of form a direct family of subobjects in the -category whose direct limit Failed to parse (unknown function "\limdir"): {\displaystyle \limdir \left\{A_i\right\}} is .


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  1. 1.0 1.1 See p.83 in ref.   in the Bibliography for categories and algebraic topology