Homotopic and Smoothly Homotopic Manifolds
94059
Extending a Homotopy from $X \times [0,1]$ to $X \times \mathbb{R}$
118064
Homogeneous riemannian manifolds are complete. Trouble understanding proof.
64084
Existence of a simple closed curve which is not null-homotopic
23156
Homotopy equivalence from torus minus a point to a figure-eight.
117104
Is the punctured plane homotopy equivalent to the circle?
152725
Why does $S^n$ satisfy the local $n$-slice condition? (From Lee's Smooth Manifolds)
44194
How to show that the unit sphere is a topological manifold?
61013
Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$.
8799
Mapping homotopic to the identity map has a fixed point
90365
Riemannian Manifolds with $n(n+1)/2$ dimensional symmetry group
80418
The "Easiest" non-smoothable manifold
20692
Homotopy groups of a wedge sum
109027
example of a non differentiable manifold
107148
Does there always exist a continuous/smooth map from $\mathbb{R}^n$ onto a manifold $M^n$?
55064
Homology groups of torus
95272
Difference between Grassmann and Stiefel manifolds
156904
Homotopy Extension Property: necessary and sufficient condition