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English-Hindi > totally bounded" sentence in Hindi

totally bounded in a sentence

Examples
21.It remains true ( that is, the proof does not require choice ) that every precompact space is totally bounded; in other words, if the completion of a space is compact, then that space is totally bounded.

22.It remains true ( that is, the proof does not require choice ) that every precompact space is totally bounded; in other words, if the completion of a space is compact, then that space is totally bounded.

23.Then it becomes a theorem that a space is totally bounded if and only if it is precompact . ( Separating the definitions in this way is useful in the absence of the axiom of choice; see the next section .)

24.But it is no longer true ( that is, the proof requires choice ) that every totally bounded space is precompact; in other words, the completion of a totally bounded space might not be compact in the absence of choice.

25.But it is no longer true ( that is, the proof requires choice ) that every totally bounded space is precompact; in other words, the completion of a totally bounded space might not be compact in the absence of choice.

26.And in the special case of an arbitrary compact metric space " X " every bounded subspace of an arbitrary metric space " Y " aimed at " X " is totally bounded ( i . e . its metric completion is compact ).

27.X ^ \ star is defined as the space of all linear continuous functionals f : X \ to \ mathbb { C } endowed with the topology of uniform convergence on totally bounded sets in " X ", and the " second dual space"

28.There is a complementary relationship between total boundedness and the process of Cauchy completion : A uniform space is totally bounded if and only if its Cauchy completion is totally bounded . ( This corresponds to the fact that, in Euclidean spaces, a set is bounded if and only if its closure is bounded .)

29.There is a complementary relationship between total boundedness and the process of Cauchy completion : A uniform space is totally bounded if and only if its Cauchy completion is totally bounded . ( This corresponds to the fact that, in Euclidean spaces, a set is bounded if and only if its closure is bounded .)

30.For any two stereotype spaces X and Y the " stereotype space of operators " \ text { Hom } ( X, Y ) from X into Y, is defined as the pseudosaturation of the space \ text { L } ( X, Y ) of all linear continuous maps \ varphi : X \ to Y endowed with the topology of uniform convergeance on totally bounded sets.

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How to say totally bounded in Hindi and what is the meaning of totally bounded in Hindi? totally bounded Hindi meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.