metric space meaning in Hindi

More: Next

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

noun.

a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality