Mathematical English Usage - a Dictionary

by Jerzy Trzeciak

lack

1

[see also: absence]

Note that the lack of compactness prevents us from using Theorem 1.

Thus, although we follow the general pattern of proof of Theorem A, we must also introduce new ideas to deal with the lack of product structure.

[Note the difference: absence = non-presence; lack = shortage of something desirable.]

2

The space $R$ is pseudo-compact but lacks any such subset.



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