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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Algebraic structure in the loop space homology Bockstein spectral sequence


Author: Jonathan A. Scott
Journal: Trans. Amer. Math. Soc. 354 (2002), 3075-3084
MSC (2000): Primary 55P35; Secondary 16S30
Published electronically: April 1, 2002
MathSciNet review: 1897391
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Abstract | References | Similar Articles | Additional Information

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.


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Additional Information

Jonathan A. Scott
Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario M5S 3G3, Canada
Address at time of publication: Aberdeen Topology Centre, Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
Email: j.scott@maths.abdn.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9947-02-02971-9
PII: S 0002-9947(02)02971-9
Keywords: Loop space homology, Bockstein spectral sequence, universal enveloping algebra
Received by editor(s): November 1, 2001
Published electronically: April 1, 2002
Article copyright: © Copyright 2002 American Mathematical Society