query: Countable Connected Hausdorff Space
positive_passages.docid: 149980
positive_passages.text: Are there any countable Hausdorff connected spaces?
negative_passages.docid: 110744
negative_passages.text: How to prove that a compact set in a Hausdorff topological space is closed?
negative_passages.docid: 103769
negative_passages.text: The Cartesian product of a finite number of countable sets is countable
negative_passages.docid: 7402
negative_passages.text: Showing a compact metric space has a countable dense subset
negative_passages.docid: 102484
negative_passages.text: Connectedness problem and countability of compact subsets of the Sorgenfrey line
negative_passages.docid: 60868
negative_passages.text: Interplay of Hausdorff metric and Lebesgue measure
negative_passages.docid: 89264
negative_passages.text: Connectedness in the Quotient Space
negative_passages.docid: 14345
negative_passages.text: If $A\subset\mathbb{R^2}$ is countable, is $\mathbb{R^2}\setminus A$ path connected?
negative_passages.docid: 140168
negative_passages.text: What are the basis for co-countable and co-finite topologies
negative_passages.docid: 58296
negative_passages.text: Is totally disconnected space, Hausdorff?
negative_passages.docid: 130981
negative_passages.text: Co-countable measure on uncountable set
negative_passages.docid: 130361
negative_passages.text: Basis for a topology with a countable number of sets
negative_passages.docid: 48557
negative_passages.text: Product of connected spaces
negative_passages.docid: 49039
negative_passages.text: Sets with Hausdorff-Measure 0
negative_passages.docid: 154682
negative_passages.text: G/H is Hausdorff implies H is closed (General topology, Volume 1 by N. Bourbaki)
negative_passages.docid: 72875
negative_passages.text: "Naturally occurring" non-Hausdorff spaces?
negative_passages.docid: 71489
negative_passages.text: Countable product of Polish spaces