Reference request for a proof : every convex open subset of $\Bbb R^n$ is diffeomorphic to $\Bbb R^n$
129081
Proof that convex open sets in $\mathbb{R}^n$ are homeomorphic?
147287
Is it possible to construct a metric in $\mathbb{R}^n $ s.t. it does not induce CONVEX balls?
142922
How to prove that $e^x$ is convex?
60485
Show that $S^1 - \lbrace (1,0)\rbrace$ is homeomorphic to the open interval $(0,1)$
31548
Proof of "every convex function is continuous"
59424
Showing that $B=\{(x,y) \in \Bbb{R^2} \mid \ xy>0 \}$ is an open set
61013
Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$.
131082
Proof that $\mathbb R/[0,1]$ and $\mathbb R$ are homeomorphic
147420
Equivalent definitions of convexity for $f\in\mathcal C^1(\mathbb R^n)$
27855
Show that $(a,b)\times (c,d)$ is an open set in $\mathbb{R}^2$ with the Euclidian metric.
46563
Show that the quotient space is homeomorphic to the n-disc
6335
Proving that the set enclosed by an ellipse is convex
91322
A diffeomorphism whose tangent map preserves dot products is an isometry.
115814
If $\operatorname{Re}f^\prime > 0$ on a convex domain, then $f$ is one-to-one.
150987
Showing that the product and metric topology on $\mathbb{R}^n$ are equivalent
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
71037
Is exponential map locally a diffeomorphism w.r.t. base point?