Metric Space

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A metric space is a set with a global distance function that for every two of the set's points gives the distance between them as a nonnegative real number.

Metric space is a college-level concept that would be first encountered in a topology course.


Metric: A metric is a nonnegative function describing the distance between neighboring points for a given set.
Vector Space: A vector space is a set that is closed under finite vector addition and scalar multiplication. The basic example is n-dimensional Euclidean space.

Classroom Articles on Topology (Up to College Level)

  • Closed Set
  • Projective Plane
  • Dimension
  • Projective Space
  • Homeomorphism
  • Subspace
  • Möbius Strip
  • Topological Space
  • Neighborhood
  • Topology
  • Open Set
  • Torus
  • Point-Set Topology