query: Is the disc minus a countable set of points connected? Path-connected?
positive_passages.docid: 16517
positive_passages.text: Arcwise connected part of $\mathbb R^2$
negative_passages.docid: 133938
negative_passages.text: Connectedness of the Hausdorff distance.
negative_passages.docid: 102484
negative_passages.text: Connectedness problem and countability of compact subsets of the Sorgenfrey line
negative_passages.docid: 58101
negative_passages.text: The set of points where two maps agree is closed?
negative_passages.docid: 70761
negative_passages.text: Number of ways to connect sets of $k$ dots in a perfect $n$-gon
negative_passages.docid: 109462
negative_passages.text: Looking for a counter example for non-connected intersection of descending chain of closed connected sets
negative_passages.docid: 537
negative_passages.text: Set of branch points isn't discrete, but branch points are isolated?
negative_passages.docid: 153107
negative_passages.text: Does every connected component of $\{z : |P(z)|<1 \}$ contain a zero?
negative_passages.docid: 84791
negative_passages.text: Is every connected metric space with at least two points uncountable?
negative_passages.docid: 104411
negative_passages.text: sum of two connected subset of $\mathbb{R}$
negative_passages.docid: 33822
negative_passages.text: Is there a monoid structure on the set of paths of a graph?
negative_passages.docid: 93623
negative_passages.text: Showing that every connected open set in a locally path connected space is path connected
negative_passages.docid: 147197
negative_passages.text: Number of connected components of the complement of a compact
negative_passages.docid: 61816
negative_passages.text: Cut points and connected space
negative_passages.docid: 93986
negative_passages.text: Connectivity, Path Connectivity and Differentiability
negative_passages.docid: 55263
negative_passages.text: Path connected space that is not locally connected
negative_passages.docid: 23965
negative_passages.text: Function which preserves closed-boundedness and path-connectedness continuous?