Point-Set Topology

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Point-set topology is the study of the general abstract nature of continuity on spaces. Basic point-set topological notions are ones like continuity, dimension, compactness, and connectedness.

Point-set topology is a college-level concept that would be first encountered in a topology course covering point-set topology.


Topological Space: A topological space is a set with a collection of subsets T that together satisfy a certain set of axioms defining the topology of that set.

Classroom Articles on Point-Set Topology

  • Closed Set
  • Open Set
  • Homeomorphism
  • Subspace
  • Neighborhood

  • Classroom Articles on Topology (Up to College Level)

  • Dimension
  • Projective Plane
  • Metric
  • Projective Space
  • Metric Space
  • Topology
  • Möbius Strip
  • Torus