query: Is a path-connected set always Jordan-path connected?
positive_passages.docid: 17470
positive_passages.text: Does path-connected imply simple path-connected?
negative_passages.docid: 2575
negative_passages.text: Showing that $\mathbb{R}$ is connected
negative_passages.docid: 67088
negative_passages.text: Closure and pathwise connected
negative_passages.docid: 116069
negative_passages.text: Is every metric space a subspace of some connected metric space?
negative_passages.docid: 55263
negative_passages.text: Path connected space that is not locally connected
negative_passages.docid: 31266
negative_passages.text: Proof of "the continuous image of a connected set is connected"
negative_passages.docid: 84492
negative_passages.text: Can $X$ have compact connected components?
negative_passages.docid: 151051
negative_passages.text: connectedness of uniform topology
negative_passages.docid: 93986
negative_passages.text: Connectivity, Path Connectivity and Differentiability
negative_passages.docid: 153107
negative_passages.text: Does every connected component of $\{z : |P(z)|<1 \}$ contain a zero?
negative_passages.docid: 16517
negative_passages.text: Arcwise connected part of $\mathbb R^2$
negative_passages.docid: 42811
negative_passages.text: Product of path connected spaces is path connected
negative_passages.docid: 55493
negative_passages.text: Showing that the path-connected component of the identity matrix in a subgroup of $GL_n(\Bbb R)$ is a normal subgroup
negative_passages.docid: 33822
negative_passages.text: Is there a monoid structure on the set of paths of a graph?
negative_passages.docid: 15865
negative_passages.text: Show that $X = \{ (x,y) \in\mathbb{R}^2\mid x \in \mathbb{Q}\text{ or }y \in \mathbb{Q}\}$ is path connected.
negative_passages.docid: 108909
negative_passages.text: Is the unit sphere in $\Bbb R^4$ path connected?
negative_passages.docid: 117877
negative_passages.text: Are homotopy equivalent path-connected spaces homotopy equivalent as pointed spaces?