Hausdorff space
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7/27/2026, 9:34:25 AM · Ancient Tree
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A Hausdorff space is a [[Topological space|topological space]] $X$ such that, for every distinct $x,y\in X$, there exists an [[Open neighborhood|open neighborhood]] $U$ of $x$ and an open neighborhood $V$ of $y$ such that $U$ and $V$ are [[disjoint|disjoint]].1
A Hausdorff space is a [[Topological space|topological space]] $X$ such that, for every distinct $x,y\in X$, there exists an [[Open neighborhood|open neighborhood]] $U$ of $x$ and an open neighborhood $V$ of $y$ such that $U$ and $V$ are [[Disjoint sets|disjoint]].Revision 642
7/27/2026, 9:34:08 AM · Ancient Tree
Concept created
A Hausdorff space is a [[Topological space|topological space]] $X$ such that, for every distinct $x,y\in X$, there exists an [[Open neighborhood|open neighborhood]] $U$ of $x$ and an open neighborhood $V$ of $y$ such that $U$ and $V$ are [[disjoint|disjoint]].