Sentence examples for on a small category from inspiring English sources

If we have a comonad (varphi ) on a small category I, then for any category (mathcal {C}), (varphi ^*) is a comonad on the category of functors (mathcal {C}^I), and we have an obvious natural identification begin{aligned} {text {Coalg}}(mathcal {C}^I,varphi ^*) cong mathcal {C}^{{text {coalg}}(I,varphi )}.

(i) A good filtration on a small category I is a collection of full subcategories (I_{le n} subset I), one for any non-negative integer n, such that (I_{le n} subset I_{le n+1}) and (I = bigcup I_{le n}).

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.

The main technology here is the Reedy model structure on the category of functors (mathcal {C}^I) from a small category I to a model category (mathcal {C}).

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.

It's such a small category of thing to do.

I was driving in a smaller category, Atlantics.

A smaller category number reflects a better match.

It should be noted that this finding was based on taking a very small category and dividing it into two subsets; only 9 of the 29 cases were in the low-ozone communities (RR = 0.8), versus 20 in the high-ozone communities (RR = 3.3; 95% CI, 1.9 5.8).

2The unemployment insurance records do not include information on several small categories of employees including self-employed and federal workers; but they cover roughly 96% of all workers (Andersson et al. 2005).

However, the findings of the current review showed that the majority of economic evaluation studies concentrate on a small number of disease categories which do not include some of Iran's major health problems.