query: Existence a diffeomorphism on $\mathbb R^n$
positive_passages.docid: 27757
positive_passages.text: $\mathbb{R}\to\mathbb{R}$ Diffeomorphism with special property
negative_passages.docid: 127631
negative_passages.text: On a conformal mapping
negative_passages.docid: 70861
negative_passages.text: $\mathbb P^n\times \mathbb P^m\not\cong \mathbb P^{m+n}$
negative_passages.docid: 44361
negative_passages.text: An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
negative_passages.docid: 64140
negative_passages.text: Find a bijection from $\mathbb R$ to $\mathbb R-\mathbb N$
negative_passages.docid: 63836
negative_passages.text: Show there exists $g:(0,1)\to\mathbb{R}^2$ such that $h\circ g$ constant, $g$ continuously differentiable and $g$ injective
negative_passages.docid: 27746
negative_passages.text: Autohomeomorphism of the unit disk which is constant on the boundary, and which takes 0 to a prescribed point
negative_passages.docid: 111348
negative_passages.text: Show that $\mathrm{S}_{m} \times \mathbb{N}^{m} \rightarrow \mathbb{N}^{m}$ defines an action of $\mathrm{S}_{m}$ on $\mathbb{N}^{m}$
negative_passages.docid: 127886
negative_passages.text: Artin's lemma and some morphisms.
negative_passages.docid: 82458
negative_passages.text: Homeomorphism between the unit disc and the unit square
negative_passages.docid: 71037
negative_passages.text: Is exponential map locally a diffeomorphism w.r.t. base point?
negative_passages.docid: 91337
negative_passages.text: Is every self-homeomorphism homotopic to a diffeomorphism?
negative_passages.docid: 91322
negative_passages.text: A diffeomorphism whose tangent map preserves dot products is an isometry.
negative_passages.docid: 91878
negative_passages.text: Homeomorphism of the Disk
negative_passages.docid: 75104
negative_passages.text: Existence of some type matrix
negative_passages.docid: 82474
negative_passages.text: Isometries of $\mathbb{R}^n$
negative_passages.docid: 68514
negative_passages.text: Let $M$ be a smooth manifold and let $N$ be a manifold with boundary. If $dF_{p}$ is an isomorphism, then $F\left(p\right)\in\mbox{int}M $.