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Translations for „open cover“ in the English » German Dictionary (Go to German » English)

Monolingual examples (not verified by PONS Editors)

English
That is, every point finite open cover is interior preserving.
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These facts are particularly important because shrinking of open covers is a common technique in the theory of differential manifolds and while constructing functions using a partition of unity.
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More precisely, if there are local trivializations over a numerable open cover of, the bundle is a fibration.
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That is, given any open cover, we can find an open refinement with the property that every compact set meets only finitely many members of the refinement.
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Any open cover of a paracompact space is numerable.
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The diploma is handed over full size in an open cover (not rolled-up).
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A compact space is a space in which every open cover of the space contains a finite subcover.
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A topological space in which every open cover admits a locally finite open refinement is called paracompact.
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A topological space in which every open cover admits a point-finite open refinement is called metacompact.
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A space is compact if every open cover has a finite subcover.
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