例句與造句

1. Since M is compact, this cover has a finite subcover.
2. By compactness, this cover has a finite subcover.
3. By assumption, no has a finite subcover.
4. Choosing a finite subcover then gives equicontinuity.
5. If every cover by elements from has a finite subcover, then the space is compact.
6. It's difficult to find finite subcover in a sentence. 用finite subcover造句挺難的
7. ;Countably compact : A space is countably compact if every countable open cover has a finite subcover.
8. Assume by way of contradiction that the space is not compact, yet every subbasic cover from has a finite subcover.
9. Use Zorn's Lemma to find an open cover without finite subcover that is " maximal " amongst such covers.
10. These neighborhoods consist of an open cover of the interval, and since the interval is compact there is a finite subcover of them.
11. Any finite subcover of this cover must be bounded, because all balls in the subcover are contained in the largest open ball within that subcover.
12. Then there exists an infinite open cover " C " of " T " 0 that does not admit any finite subcover.
13. Formally, a topological space " X " is called " compact " if each of its open covers has a finite subcover.
14. The " N " of the fan theorem can be taken to be the length of the longest sequence whose basic open set is in the finite subcover.
15. Peter Gustav Lejeune Dirichlet was the first to prove this and implicitly he used the existence of a finite subcover of a given open cover of a closed interval in his proof.
16. Being cylinder sets, this means their projections onto have no finite subcover, and since each is compact, we can find a point that is not covered by the projections of onto.
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