%0 Journal Article %T Canonical Borel equivalence relations on $ \mathbb{R}^n$ %A Dimitris Vlitas %J Mathematics %D 2013 %I arXiv %X In this paper we complete the attempt of H. Lefmann to show that Borel equivalence relations on the $n$-element subsets of $2^{\omega}$, that respect an order type, have a finite Ramsey basis. %U http://arxiv.org/abs/1310.5519v3