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Algebraic structure in the loop space homology Bockstein spectral sequence
Authors:Jonathan A Scott
Institution:Department of Mathematics, University of Toronto, Toronto, Ontario M5S 3G3, Canada
Abstract: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.

Keywords:Loop space homology  Bockstein spectral sequence  universal enveloping algebra
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