query: Hausdorff and diagonal
positive_passages.docid: 2915
positive_passages.text: $X$ is Hausdorff if and only if the diagonal of $X\times X$ is closed
negative_passages.docid: 101493
negative_passages.text: Prove that one diagonal of a quadrilateral bisects the other
negative_passages.docid: 130156
negative_passages.text: Image of the union and intersection of sets.
negative_passages.docid: 131637
negative_passages.text: Real projective space is Hausdorff: is this proof correct?
negative_passages.docid: 100121
negative_passages.text: Assume that $(\text{X}, T)$ is compact and Hausdorff. Prove that a comparable but different topological space $(\text{X},T')$ is not.
negative_passages.docid: 71916
negative_passages.text: Quasi-components and components coincide for compact Hausdorff spaces
negative_passages.docid: 70049
negative_passages.text: Irreducible topological spaces and irreducible Hausdorff space
negative_passages.docid: 1794
negative_passages.text: $\exp(A+B)$ and Baker-Campbell-Hausdorff
negative_passages.docid: 5420
negative_passages.text: Why doesn't Cantor's diagonal argument also apply to natural numbers?
negative_passages.docid: 110744
negative_passages.text: How to prove that a compact set in a Hausdorff topological space is closed?
negative_passages.docid: 44070
negative_passages.text: Recurrence  for number of regions formed by diagonals of a convex polygon.
negative_passages.docid: 89264
negative_passages.text: Connectedness in the Quotient Space
negative_passages.docid: 898
negative_passages.text: Strictly diagonally dominant matrices are non singular
negative_passages.docid: 79779
negative_passages.text: How big can a separable Hausdorff space be?
negative_passages.docid: 37841
negative_passages.text: Product of quotient maps and quotient space that is not Hausdorff
negative_passages.docid: 122663
negative_passages.text: Proving $T$ and $U$ are equal if I know $(X,T)$ and $(X,U)$ are hausdorff and compact
negative_passages.docid: 100437
negative_passages.text: Classification of connected subsets of the real line (up to homeomorphism)