respect

[see also: regard, relative, compare]

The set $S$ is a semigroup with respect to coordinatewise addition.

Thus $C$ behaves covariantly with respect to maps of both $X$ and $G$.

Suppose $A$ is maximal with respect to having connected preimage.

We denote the complement of $A$ by $A^c$ whenever it is clear from the context with respect to which larger set the complement is taken.

Now suppose that $F(n)=x$ and that $n$ is maximal in this respect.

The prime 2 is anomalous in this respect, in that the only edge from 2 passes through 3.

It is in all respects similar to matrix multiplication.

In the course of writing this paper we learned that P. Fox has simultaneously obtained results similar to ours in certain respects.

Keller [2, Theorem 5] obtains a duality theorem that is stronger than Theorem 2 in a number of respects, but the proof is much more difficult.

Identical conclusions hold in respect of the condition BN. [= concerning BN]



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