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[parent] $C_3$-category corollary (Corollary)
Corollary 0.1 (Corollary 1.3 in ref. [1].)  

Any complete $C_3$ -category $\mathcal{A}$ is a $C_2$ -category.

Bibliography

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



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See Also: $C_3$-category theorem, complete category

Keywords:  $C_3$-category, corollary, $C_2$-category

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This is version 2 of $C_3$-category corollary, born on 2008-09-27, modified 2009-02-03.
Object id is 11099, canonical name is C_3CategoryCorollary.
Accessed 367 times total.

Classification:
AMS MSC: 18E15 (Category theory; homological algebra :: Abelian categories :: Grothendieck categories)
 18-00 (Category theory; homological algebra :: General reference works )
 18A99 (Category theory; homological algebra :: General theory of categories and functors :: Miscellaneous)
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