Algebraic structure in the loop space homology Bockstein spectral sequence
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- by Jonathan A. Scott
- Trans. Amer. Math. Soc. 354 (2002), 3075-3084
- DOI: https://doi.org/10.1090/S0002-9947-02-02971-9
- Published electronically: April 1, 2002
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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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Bibliographic 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
- Received by editor(s): November 1, 2001
- Published electronically: April 1, 2002
- © Copyright 2002 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 354 (2002), 3075-3084
- MSC (2000): Primary 55P35; Secondary 16S30
- DOI: https://doi.org/10.1090/S0002-9947-02-02971-9
- MathSciNet review: 1897391