query: Is there a “universal” Hausdorff space?
positive_passages.docid: 149426
positive_passages.text: Is there a Hausdorff space $X$ separating points of any Hausdorff space?
negative_passages.docid: 33114
negative_passages.text: Uniqueness of a continuous extension of a function into a Hausdorff space
negative_passages.docid: 128481
negative_passages.text: Can two different topological spaces cover each other?
negative_passages.docid: 70785
negative_passages.text: A finite Hausdorff space is discrete
negative_passages.docid: 148403
negative_passages.text: Compact space and Hausdorff space
negative_passages.docid: 151984
negative_passages.text: Proving the existence of a metric space
negative_passages.docid: 70049
negative_passages.text: Irreducible topological spaces and irreducible Hausdorff space
negative_passages.docid: 65034
negative_passages.text: Are continuous self-bijections of connected spaces homeomorphisms?
negative_passages.docid: 152679
negative_passages.text: Homogeneous topological spaces
negative_passages.docid: 70574
negative_passages.text: How can I prove formally that the projective plane is a Hausdorff space?
negative_passages.docid: 70543
negative_passages.text: Does an uncountable discrete subspace of the reals exist?
negative_passages.docid: 104234
negative_passages.text: What is the Hausdorff dimension of the set of irrationals on $\mathbb R^1$
negative_passages.docid: 95234
negative_passages.text: Quasi-components in compact space
negative_passages.docid: 99816
negative_passages.text: Existence of Topologically Transitive Maps on nice Metric Spaces
negative_passages.docid: 149220
negative_passages.text: If every compact set is closed, then is the space Hausdorff?
negative_passages.docid: 90628
negative_passages.text: The metric spaces are Tychonoff spaces
negative_passages.docid: 51710
negative_passages.text: Is there an infinite connected topological space such that every space obtained by removing one point from it is totally disconnected?