[at sth; at doing sth; to do sth; see also: trial]
This work was intended as an attempt to motivate $\langle$at motivating$\rangle$ ......
There are other problems with this example which would hinder any attempt to follow the proof given here too closely.
Among the attempts made in this direction, the most notable ones were due to Jordan and Borel.
This attempt is doomed because the homogeneity condition fails to hold. [= The attempt is certain to fail]
Having established (1), one might be tempted to try to extend this result to general $p$ through the choice of a suitable ideal $B$. Alas, as we shall see now, this attempt is futile.
a successful $\langle$unsuccessful/failed/serious/repeated$\rangle$ attempt
[sth; to do sth; see also: try]
In 1988, while attempting to generalize this result, the second author noticed that ......
Since most of the results presented are quite classical (the novelty lies in the arrangement, and some of the proofs are new), I have not attempted to document the source of every item.
Thus it is reasonable to attempt, using this homeomorphism, to gain an understanding of the structure of $M$.
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