New posts in Spheres

Proving that $S=\{ x \in (X,\| \cdot \|) : \|x\| =1 \}$ is a closed set.

Nonexistence of a homeomorphism between a open set and the unit ball

The sphere is not uniformly close to being isometric to Euclidean space

What length would the sides of a triangle over Earth's surface be for the sum of its angles to be 180.1°

derive a parametric equation of a sphere (on the first octant) with a dent in the middle

Surface area of a sphere with integration of disks

Are the points moving around a sphere in this manner always equidistant?

intersection of hypercube and hypersphere

Show that geodesic distance on the $n$-sphere respects the triangle inequality

Does a set of $n+1$ points that affinely span $\mathbb{R}^n$ lie on a unique $(n-1)$-sphere?