Algebraic structure in the loop space homology Bockstein spectral sequence

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Algebraic Structure in the Loop Space Homology Bockstein Spectral Sequence

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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Algebraic Structure of the Loop Space Bockstein Spectral Sequence

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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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2002

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-02-02971-9