Algebraic structure of the loop space Bockstein spectral sequence

Mathematics – Algebraic Topology

Scientific paper

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12 pages

Scientific paper

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.

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