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Separation Conditions

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

Abstract

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.

Keywords

Topological Space Open Neighbourhood Hausdorff Property Separation Condition Hausdorff Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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