%0 Journal Article %T Veroneseans, power subspaces and independence %A W. M. Kantor %A E. E. Shult %J Mathematics %D 2011 %I arXiv %X Results are proved indicating that the Veronese map v_d often increases independence of both sets of points and sets of subspaces. For example, any d+1 Veronesean points of degree d are independent. Similarly, the dth power map on the space of linear forms of a polynomial algebra also often increases independence of both sets of points and sets of subspaces. These ideas produce d+1-independent families of subspaces in a natural manner. %U http://arxiv.org/abs/1109.0652v1