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[parent] $C_3$-category generators corollary (Corollary)

Corollary 0.1. (Corollary 1.4 in ref. [1])

Let A be an object with a family of generators {A } i in a C3-category. Then, the finitely generated subobjects of A form a direct family of subobjects in the C3-category whose direct limit lim -------→-{Ai } is A.

References

[1]   See p.83 in ref. [266] in the Bibliography for categories and algebraic topology


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This is version 3 of $C_3$-category generators corollary, born on 2010-05-09, modified 2010-05-09.
Object id is 859, canonical name is C_3CategoryGeneratorsCorollary.
Accessed 2128 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)
 02.70.-cxx (Computational techniques )
 02.90.+p (Other topics in mathematical methods in physics )
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