How can I prove that $S^n$ is a $n$-dim manifold?
44194
How to show that the unit sphere is a topological manifold?
11319
Is $M=\{(x,|x|): x \in (-1, 1)\}$ not a differentiable manifold?
137093
What is the codimension of matrices of rank $r$ as a manifold?
152725
Why does $S^n$ satisfy the local $n$-slice condition? (From Lee's Smooth Manifolds)
135108
Why doesn't $ds^2 = 0$ imply two distinct points $p$ and $p'$ on a manifold are the same point?
22150
The only 1-manifolds are $\mathbb R$ and $S^1$
56433
Volume form on $(n-1)$-sphere $S^{n-1}$
39453
How do I prove that $S^n$ is homeomorphic to $S^m \Rightarrow m=n$?
75829
Dimension of open subsets of $R^n$
127818
How do I prove that a graph is a topological manifold
61013
Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$.
55488
Proving that $\operatorname{codim}(X,Y)=\dim(\mathcal{O}_{X,\eta})$
27629
How to prove that $S^{2n+1}/S^1$ is homeomorphic to $\mathbb CP^n$ under a given identification
82474
Isometries of $\mathbb{R}^n$
151637
How do we prove that this set is not manifold?
53364
dim$(V)$ = $n$, dim$(W)$ = $m$ $\implies$ dim($L(V,W)$) = $nm$
61255
Tangent bundle : is a manifold