query: Check if the function is homeomorphism.
positive_passages.docid: 145077
positive_passages.text: A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?
negative_passages.docid: 65034
negative_passages.text: Are continuous self-bijections of connected spaces homeomorphisms?
negative_passages.docid: 28692
negative_passages.text: Find if set $I$ of all injective functions $\mathbb{N} \rightarrow \mathbb{N}$ is equinumerous to $\mathbb{R}$
negative_passages.docid: 107076
negative_passages.text: Prove $S^1$ is not homeomorphic to $S^2$ using connectedness
negative_passages.docid: 94109
negative_passages.text: $f$ a real, continuous function, is it measurable?
negative_passages.docid: 81264
negative_passages.text: Is $[0, 1) \times (0, 1)$ homeomorphic to $(0, 1) × (0, 1)$?
negative_passages.docid: 135863
negative_passages.text: Is the graph of a continuous function homeomorphic to its domain?
negative_passages.docid: 31479
negative_passages.text: homeomorphism of cantor set extends to the plane?
negative_passages.docid: 88155
negative_passages.text: Show that $[0, 1)\times[0, 1)$ is homeomorphic to $[0, 1]\times[0, 1)$ but not to $[0, 1]\times[0, 1]$.
negative_passages.docid: 157597
negative_passages.text: Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
negative_passages.docid: 99726
negative_passages.text: Proving that a function is not a contraction
negative_passages.docid: 145781
negative_passages.text: Is the collection of all functions between two sets a set?
negative_passages.docid: 128301
negative_passages.text: Homeomorphism from square to unit circle
negative_passages.docid: 111689
negative_passages.text: Surjective, but not injective endomorphism
negative_passages.docid: 84766
negative_passages.text: Density can be transferred by a homeomorphism?
negative_passages.docid: 39453
negative_passages.text: How do I prove that $S^n$ is homeomorphic to $S^m \Rightarrow m=n$?
negative_passages.docid: 154324
negative_passages.text: preservation of completeness under homeomorphism