| 1. | ;paracompact if every open cover has a locally finite open refinement.
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| 2. | Let \ mathcal U be an open cover of X.
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| 3. | Every finite topological space is compact since any open cover must already be finite.
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| 4. | A topological space in which every open cover admits a locally finite open metacompact.
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| 5. | The evenly covered neighborhoods form an open cover of the space " X ".
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| 6. | That is, every point finite open cover is interior preserving.
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| 7. | Grothendieck topologies axiomatize the notion of an open cover.
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| 8. | Specifically, every second-countable space is Lindel�f ( every open cover has a countable subcover ).
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| 9. | The diploma is handed over full size in an open cover ( not rolled-up ).
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| 10. | Where } } is an open cover of, denotes the restriction map, and is the difference.
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