• Mícheál Ó Searcóid
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


A non-closed subspace of a topological space is singularly defective, particularly if the topology determines geometric structure. We therefore present completeness as a property of universal closure, confining our attention to metric spaces. We shall see that extraordinarily powerful theorems are available in a metric space which contains every possible boundary point in every possible metric superspace.




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Copyright information

© Springer-Verlag London 2002

Authors and Affiliations

  • Mícheál Ó Searcóid
    • 1
  1. 1.Department of MathematicsUniversity College DublinBelfieldIreland

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