Small Designs for Path Connected Spaces and Path Connected Homogeneous Spaces

Abstract

We prove the existence of designs of small size in a number of contexts. In particular our techniques can be applied to prove the existence of $n$-designs on $S^d$ of size $O_d(n^d\log (n{)}^{d-1})$.

References in corpus (1)

• Spherical designs via Brouwer fixed point theorem