countably compact sentence in Hindi
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- Novak space is trivially separable, countably compact and not Lindelof.
- Every countably compact space is pseudocompact and weakly countably compact.
- Every countably compact space is pseudocompact and weakly countably compact.
- ;Countably compact : A space is countably compact if every countable open cover has a finite subcover.
- ;Countably compact : A space is countably compact if every countable open cover has a finite subcover.
- Every sequentially compact space is countably compact, and every first-countable, countably compact space is sequentially compact.
- Every sequentially compact space is countably compact, and every first-countable, countably compact space is sequentially compact.
- The first definition is usually taken for locally compact, countably compact, metrisable, separable, countable; the second for locally connected.
- 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 ?.
- 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.
- 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.
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