-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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-category generators corollary, born on 2010-05-09, modified 2010-05-09.
Object id is 859, canonical name is C_3CategoryGeneratorsCorollary.
Accessed 2237 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 )

-category generators corollary

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