Hausdorff space

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Definition

Given a Topological space (X,J) we say it is Hausdorff[1] or satisfies the Hausdorff axiom if:

  • For all a,bX that are distinct there exists neighbourhoods to a and b, Na and Nb such that:
    • NaNb=


References

  1. Jump up Introduction to topology - Mendelson - Third Edition