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Hom(–, f) : Hom(–, B) → Hom(–, B′) Yoneda's lemma implies that every natural transformation between Hom functors is of this form. In other words, the Hom functors give rise to a full and faithful embedding of the category C into the functor category Set C op (covariant or contravariant depending on which Hom functor is used).
Every equivalence or duality of abelian categories is exact.. The most basic examples of left exact functors are the Hom functors: if A is an abelian category and A is an object of A, then F A (X) = Hom A (A,X) defines a covariant left-exact functor from A to the category Ab of abelian groups. [1]
Nay-1-1 (transl. mom-1-1) is a 2012 Philippine television infotainment show broadcast by GMA Network. Hosted by Jaya and Gladys Reyes , it premiered on November 12, 2012. The show concluded on December 28, 2012, with a total of 35 episodes.
Meatpacking giants to pay $8 million for child labor violations. Finance. Reuters. TikTok says it will go dark Sunday in US without assurance from Biden. Food. Food. Delish.
The "Alternatives to Detention" program is tracking more than 25,000 migrants using ankle and wrist-worn monitors, which costs taxpayers an average of nearly $80,000 each day, according to ICE data.
The Bronx man allegedly flew into a rage on a southbound No. 5 train approaching the Fulton Street station around 6:10 a.m. when the elderly victim stumbled over his foot, according to cops and ...
An exact sequence (or exact complex) is a chain complex whose homology groups are all zero. This means all closed elements in the complex are exact. A short exact sequence is a bounded exact sequence in which only the groups A k, A k+1, A k+2 may be nonzero.
President Joe Biden is facing mounting pressure from Democratic lawmakers and allies to extend protections to immigrants in the United States amid party fears over President-elect Donald Trump’s ...