%0 Journal Article %T Algebraic structure of the loop space Bockstein spectral sequence %A Jonathan A. Scott %J Mathematics %D 1999 %I arXiv %X Let X be a finite, n-dimensional, r-connected CW complex. We prove the following theorem: If p \geq n/r is an odd prime, then the loop space homology Bockstein spectral sequence modulo p is a spectral sequence of universal enveloping algebras over differential graded Lie algebras. %U http://arxiv.org/abs/math/9912106v1