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.
KeywordsTopological Space Open Neighbourhood Hausdorff Property Separation Condition Hausdorff Space
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