In mathematics, a metric space is a set together with a notion of distance between its elements, usually called points. The distance is measured by a function...

a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M. Intuitively, a space is...

In mathematics, a hyperbolic metric space is a metric space satisfying certain metric relations (depending quantitatively on a nonnegative real number...

topology, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable...

Minkowski metric. Minkowski space is, in particular, not a metric space and not a Riemannian manifold with a Riemannian metric. However, Minkowski space contains...

pseudometric space is a generalization of a metric space in which the distance between two distinct points can be zero. Pseudometric spaces were introduced...

product gp on the tangent space TpM at each point p. The family gp of inner products is called a Riemannian metric (or Riemannian metric tensor). Riemannian...

mathematics, metric may refer to one of two related, but distinct concepts: A function which measures distance between two points in a metric space A metric tensor...

Kolmogorov quotient is the one-point space. A first-countable, separable Hausdorff space (in particular, a separable metric space) has at most the continuum cardinality...

{\displaystyle X} is a discrete uniform space if it is equipped with its discrete uniformity. the discrete metric ρ {\displaystyle \rho } on X {\displaystyle...