Show a given subset is a regular submanifold
132063
locally on $S$ one of the coordinates is a $C^∞$ function of the other coordinate. Show that $S$ is a submanifold of $R^2$
137093
What is the codimension of matrices of rank $r$ as a manifold?
63701
An example of a regular function over an open set
44165
the image of normal subgroups
14652
Proof a $(2n-1)$-compact manifold
102048
Closure of a compact set in Regular space $ X $
62950
Use implicit function theorem to show $O(n)$ is a manifold
2348
Show that the sphere, S, and $\mathbb{R}^2$ is not homeomorphic
76937
Is there an elementary way to see that there is only one complex manifold structure on $R^2$?
17461
Show that a set is dense in $[-1,1]$
157742
Prove that $U(n)$ is a manifold
88206
Image of a line in $\mathbb{P}^2$ under Veronese embedding
71791
Smooth structure of embedded submanifolds
80100
Boundary of product manifolds such as $S^2 \times \mathbb R$
142315
How does the Axiom of Regularity apply to $A=\{1,2,3\}$?
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
89649
Linear Algebra munkres analysis on manifolds question.