New posts in Manifolds

Suggestion for mistake on computation of a pull-back $2$-form on the sphere

The orbit space $\dfrac{\mathbb{R}^n}{\mathbb{R}^+}$ has an open subset homeomorphic to $S^{n-1}$

Defining manifold coordinates without an embedding

Milnor's exercise: for any manifold $M$, $\mathrm{Hom}(C^\infty(M,\mathbb{R}),\mathbb{R})\cong M$

Is every closed simply connected manifold a non-trivial covering space?

What are the known examples of closed, connected and simply connected manifolds of positive Euler characteristic?

Updates of Serge Lang — Differential manifolds

If $\omega$ vanishes in a surface, so do $d\omega$

Are there exotic balls?

Manifold that's not $\aleph_1$-separable