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Hausdorff Space**

A topological space \((X,\mathcal{T})\) is called Hausdorff if any two distinct points are contained in disjoint neighbourhoods; \(\forall x,y\in X:x\neq y\Rightarrow(\exists U,V\in\mathcal{T}:x\in U\land y\in V\land U\cap V=\emptyset)\).