Small Designs for Path Connected Spaces and Path Connected Homogeneous Spaces

Mathematics – Combinatorics

Scientific paper

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Scientific paper

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 $O_d(n^{d}\log(n)^{d-1})$.

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