Explore Topology on MathWorld

(1) As a branch of mathematics, topology is the mathematical study of object's properties that are preserved through deformations, twistings, and stretchings. (2) As a set, a topology is a set along with a collection of subsets that satisfy several defining properties.

Topology is a college-level concept and course.

Classroom Articles on Topology (Up to College Level)

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