metric space sentence - metric space sentence in Hindi (1-10)

	1.	A metric space is Lindel�f if and only if it is second-countable.
	2.	Every metric space is therefore, in a natural way, a topological space.
	3.	A metric space is compact iff it is complete and totally bounded.
	4.	Every isometry group of a metric space is a subgroup of isometries.
	5.	For example, a metric space can be regarded as an enriched category.
	6.	The definition can be generalized to functions that map between metric spaces.
	7.	In general, a metric space may have no geodesics, except constant curves.
	8.	The space has a metric ( see metric space for details ).
	9.	Thus for metric spaces we have : compactness = cauchy-precompactness + completeness.
	10.	In a general metric space, however, a Cauchy sequence need not converge.

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