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A Hausdorff space is a topological space in which distinct points have disjoint neighbourhoods. Hausdorff spaces are also called T2 spaces. |
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A Hausdorff space is a topological space in which distinct points have disjoint neighbourhoods. Hausdorff spaces are also called T2 spaces. They are named after Felix Hausdorff. |
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A topological space X is Hausdorff iff the diagonal {(x,x) : x in X} is a closed subspace of the Cartesian product of X with itself. |
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A topological space X is Hausdorff iff the diagonal {(x,x) : x in X} is a closed subspace of the Cartesian product of X with itself. |
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See also topology, compact space and Tychonov space. |
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See also topology, compact space and Tychonoff space. |
Limits of sequences (when they exist) are unique in Hausdorff spaces.
A topological space X is Hausdorff iff the diagonal {(x,x) : x in X} is a closed subspace of the Cartesian product of X with itself.
See also topology, compact space and Tychonoff space.
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