[see also: if]
The question of whether $B$ is ever strictly larger than $A$ remains open. [Or: The question whether]
We shall be interested in seeing whether ......
Note that this lemma does not give a simple criterion for deciding whether a given topology is indeed of the form $T_f$.
So far it seems not to be known whether the geometric condition on $X$ can be omitted.
We do not know whether or not $Q(R)=R$ in this situation.
To tell whether a labelled partial order is a skeleton, it suffices to look at its substructures of size at most three.
Perhaps the most important problem involving $f$-vectors is whether or not John's conditions extend to spheres.
We conclude that whether a space $X$ is an RG-space is not determined by the ring structure of $C(X)$.
The method works irrespective of whether $A$ or $B$ is used.
Unfortunately, the details of the calculations were omitted, and there is some doubt on whether the result is correct since our analysis suggests that $P_2$ must vanish to third order; the presence of $L^{-2}$ is also suspect.
Thus, whether or not $x$ is in the list, one comparison is done.
The derivation $D$ is the same whether we regard $E$ as a derivation on $X$ or on $Y$.
We consider every subset of $N$, whether finite or infinite, to be an increasing sequence.
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