Sentence examples for of a small category from inspiring English sources
In the years since, the Hermitage has gradually revealed more holdings; it has published catalogs and joined negotiations over the return of a small category of items.
ℒ0 is adequate for the constructive part of the usual elementary mathematics—arithmetic and analysis but not for metamathematics, if this is to include a proof of Gödel's completeness theorem, and not for category theory, if this is to include the Yoneda embedding of a small category into a set-valued functor category.
In principle, one can combine Propositions 6.11 and 6.7 to obtain a bijective correspondence between special prefibrations over the simplicial replacement (Delta I) of a small category I and covariant lax functors F from I to ({text {Cat}}) in the sense of Definition 4.5.
"It could be the beginning of a small category for us.
Categories required at least two signals to be counted as enriched to remove the possibility of a small category being deemed significantly enriched based on one signal.
Von Saher had brought her suit in time, he found, because of special legislation passed in 2010 that greatly relaxed the usual statute of limitations for a small category of cases -- ones seeking the return of allegedly stolen cultural property held by California museums or art dealers.
In England its use was limited by statute to a small category of cases.
An assistant site merchandiser, for instance, might become the merchandiser for a small category of products and then a bigger category, then an entire site.
However, experts who have studied the DoJ policy sent to US attorneys say the measure remains quite narrow, applying only to a smaller category of offenders with no history of violence or links to drug gangs.
In particular, the category (mathcal {C}^I) of functors from a small category I to a DG category (mathcal {C}) is not a DG category.
More generally, the notion of a family of categories parametrized by a small category I is conveniently formalized as a fibration (mathcal {C}rightarrow I) in the sense of [21] (a Grothendieck fibration).
