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has a compact base, for some,, and.
It is clear that is a compact base for, where is a compact base for.
(i Assume that has a compact base, for and, and there exists such that.
Similar(55)
Suppose that has a compact base, then for any, (3.11).
Suppose that has a compact base and satisfies the -domination property for all, then for any, (3.20).
It follows from and has a compact base that there exist some and, such that, for any, one has.
Obviously, has a compact base.
Since, has a compact base.
Assume that has a compact base.
Clearly C has a compact base B if and only if (Ccapoperatorname{bd}B) is compact.
Let, and,, and let has a compact base.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com