Sentence examples for relative category from inspiring English sources

In order to find critical points ofφwe develop the limit relative category of Fournieret al. in the equivariant context.

Let be the relative category of in.

Flat is a relative category that depends on the scale.

Assume given a pointed relative category (langle mathcal {C},W rangle ) equipped with a model structure.

Following [2], we start with the notion of a relative category.

We define the limit relative category of in, with respect to, by (2.13).

Unfortunately, the choice is not always possible for example, many relative categories needed in applications do not satisfy Definition 2.6 (i).

A functor between relative categories (langle mathcal {C},W rangle ), (mathcal {C}',W' rangle ) is a functor (F:mathcal {C}rightarrow mathcal {C}') such that (F w) in W') for any (w in W).

The hazard estimates can the grouped into three relative categories for bedrock level accelerations greater than 0.21 g, 0.19 g, less than 0.16 g defining high, moderate, and low hazard levels, respectively.

Any functor (F:langle mathcal {C},W rangle rightarrow langle mathcal {C}',W' rangle ) between localizable relative categories induces a functor begin{aligned} {text {Ho}}(F):{text {Ho}}(mathcal {C},W) rightarrow {text {Ho}}(mathcal {C}',W').

In the second- and third-degree relative categories, there were 9742 grandparental, 2709 avuncular and 4 cousin pairs.