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Pseudometric Space

Pseudometric Space

Jun 29, 20231 min read

  • mathematics

up:: 026 MOC Topology

A pseudometric space is a double (X,d) where X is a (non-empty) set and d:X×X:R0+​ is a Pseudometric Function.

Corollaries

All pseudometric spaces induce metric spaces via “quotienting” points with distance 0 to the same equivalent class.


References

  • Notas para um Curso de Física-Matemática, João Carlos Alves Barata. Cap. 24

Graph View

  • Corollaries
  • References

Backlinks

  • 026 MOC Topology
  • All pseudometric spaces induce metric spaces
  • Pseudometric Function

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