Algebraic structure of the loop space Bockstein spectral sequence

摘要

Let X be a finite, n-dimensional, r-connected CW complex. We prove thefollowing theorem: If p \geq n/r is an odd prime, then the loop space homology Bocksteinspectral sequence modulo p is a spectral sequence of universal envelopingalgebras over differential graded Lie algebras.