Separation Conditions

  • I. M. James
Part of the Undergraduate Texts in Mathematics book series (UTM)


We now come to a series of conditions, often regarded as axioms, all of which are satisfied by metric spaces with the metric topology. Traditionally these conditions tend to be labelled T0, T1, …; however, the only case where we shall use this notation is for the condition known as T1. Each condition is obviously a topological invariant.


Topological Space Open Neighbourhood Hausdorff Property Separation Condition Hausdorff Space 
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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • I. M. James
    • 1
  1. 1.Mathematical InstituteUniversity of OxfordOxfordEngland

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