The Theorem of Alexandroff

  • John C. Oxtoby
Part of the Graduate Texts in Mathematics book series (GTM, volume 2)


Any subset of a metric space is itself a metric space, with the same distance function. It is obvious that any closed subset of a complete metric space is complete with respect to the same metric.

Copyright information

© Springer-Verlag New York 1971

Authors and Affiliations

  • John C. Oxtoby
    • 1
  1. 1.Bryn Mawr CollegeBryn MawrUSA

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