query: For two path-connected homeomorphic spaces, is there a homeomorphism with a prescribed value at a point?
positive_passages.docid: 152679
positive_passages.text: Homogeneous topological spaces
negative_passages.docid: 16228
negative_passages.text: Show that there is sequence of homeomorphism polynomials on [0,1] that converge uniformly to homeomorphism
negative_passages.docid: 91878
negative_passages.text: Homeomorphism of the Disk
negative_passages.docid: 81220
negative_passages.text: Space which is connected but not path-connected
negative_passages.docid: 50645
negative_passages.text: Is the following set (path) connected?
negative_passages.docid: 37589
negative_passages.text: Connectedness of points with both rational or irrational coordinates in the plane?
negative_passages.docid: 91337
negative_passages.text: Is every self-homeomorphism homotopic to a diffeomorphism?
negative_passages.docid: 12239
negative_passages.text: Holomorphic function with a fixed point
negative_passages.docid: 12060
negative_passages.text: Homeomorphism to graph
negative_passages.docid: 6118
negative_passages.text: Homeomorphism of the real line-Topology
negative_passages.docid: 37092
negative_passages.text: Homeomorphism between a cone in a compact space and this compactification
negative_passages.docid: 145077
negative_passages.text: A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?
negative_passages.docid: 112306
negative_passages.text: Two manifolds $X$ and $Y$ with two bijective continuous functions from $X$ to $Y$ and $Y$ to $X$, but not homeomorphic
negative_passages.docid: 52012
negative_passages.text: Is there exist a homemoorphism between either pair of $(0,1),(0,1],[0,1]$
negative_passages.docid: 33367
negative_passages.text: Homeomorphism definition
negative_passages.docid: 42811
negative_passages.text: Product of path connected spaces is path connected
negative_passages.docid: 147961
negative_passages.text: Characterizing simply connected spaces