English

Small Designs for Path Connected Spaces and Path Connected Homogeneous Spaces

Combinatorics 2012-06-27 v3 Spectral Theory

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 nn-designs on SdS^{d} of size Od(ndlog(n)d1)O_d(n^{d}\log(n)^{d-1}).

Cite

@article{arxiv.1112.4900,
  title  = {Small Designs for Path Connected Spaces and Path Connected Homogeneous Spaces},
  author = {Daniel M. Kane},
  journal= {arXiv preprint arXiv:1112.4900},
  year   = {2012}
}
R2 v1 2026-06-21T19:54:55.305Z