Algebraic structure of the loop space Bockstein spectral sequence

1999/12/13 by Jonathan Scott, Jonathan A. Scott, Scott, Jonathan A.
Mathematics · #16S30 (Secondary) #55P35 (Primary) #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AT #math.KT #msc:16S30 #msc:55P35

paper · pdf · doi:10.48550/arxiv.math/9912106

12 pages

arxiv created 1999/12/13 · openalex publication_date 1999/12/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a finite, n-dimensional, r-connected CW complex. We prove the following theorem: If p ≥ 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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