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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

New estimates for the collapse of the Milnor-Moore spectral sequence over a field


Author: Barry Jessup
Journal: Proc. Amer. Math. Soc. 114 (1992), 1115-1117
MSC: Primary 55M30; Secondary 55P50, 55P60, 55P62
MathSciNet review: 1093598
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Abstract: We use the free tensor models of Halperin and Lemaire to give a new and transparent proof of a theorem of Ginsburg's on the collapse of the Milnor-Moore spectral under the assumption of finite L.-S. category. The method, valid over any field, provides better bounds for the collapse and these bounds are effectively computable L.-S. type invariants.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1093598-X
PII: S 0002-9939(1992)1093598-X
Keywords: Milnor Moore spectral sequence, Lusternik-Schnirelmann category, free tensor model
Article copyright: © Copyright 1992 American Mathematical Society