countably compact वाक्य

उदाहरण वाक्य

1. Novak space is trivially separable, countably compact and not Lindelof.
2. Every countably compact space is pseudocompact and weakly countably compact.
3. Every countably compact space is pseudocompact and weakly countably compact.
4. ;Countably compact : A space is countably compact if every countable open cover has a finite subcover.
5. ;Countably compact : A space is countably compact if every countable open cover has a finite subcover.
6. Every sequentially compact space is countably compact, and every first-countable, countably compact space is sequentially compact.
7. Every sequentially compact space is countably compact, and every first-countable, countably compact space is sequentially compact.
8. The first definition is usually taken for locally compact, countably compact, metrisable, separable, countable; the second for locally connected.
9. Based on Lindstr�m's characterization, first order logic is, up to equivalence, the only abstract logic which is countably compact and has L�wenheim number ?.
10. Two classes of topological spaces are given Frol�k's name : the class P of all spaces X such that X \ times Y is pseudocompact for every pseudocompact space Y, and the class C of all spaces X such that X \ times Y is countably compact for every countably compact space Y.