Self homeomorphism of a smooth closed manifold is homotopic to a diffeomorphism
91337
Is every self-homeomorphism homotopic to a diffeomorphism?
71037
Is exponential map locally a diffeomorphism w.r.t. base point?
154009
Closed, simply connected manifolds which are not spheres
8799
Mapping homotopic to the identity map has a fixed point
122352
Topologies in a Riemannian Manifold
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$
115215
De Rham Cohomology of the tangent bundle of a manifold
6118
Homeomorphism of the real line-Topology
66770
Intuition for Smooth Manifolds
68514
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 $.
140612
Two homologous but not homotopic loops on a closed surface of genus greater than one
94215
Fundamental group of the connected sum of manifolds
157742
Prove that $U(n)$ is a manifold
44069
Proof that a continuous map to $S^n$ whose image is a proper subset of $S^n$ is null-homotopic
133413
Proof of paracompactness of CW-complexes (J. Lee, Introduction to Topological Manifolds)
65034
Are continuous self-bijections of connected spaces homeomorphisms?
148187
Question regarding one-point compactification and homeomorphisms