Hereditarily normal Hausdorff space

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Definition

A topological space is termed a hereditarily normal Hausdorff space if it satisfies the following equivalent conditions:

  1. It is both a hereditarily normal space and a Hausdorff space.
  2. It is both a hereditarily normal space and a T1 space.
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces

In the T family (properties of topological spaces related to separation axioms), this is called: T5