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
DOI:
https://doi.org/10.1090/S0002-9939-1992-1093598-X
MathSciNet review:
1093598
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Abstract | References | Similar Articles | Additional Information
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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loop space homology, Inventiones Math. 95 (1989), 247-262. Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55M30, 55P50, 55P60, 55P62
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1992-1093598-X
Keywords:
Milnor Moore spectral sequence,
Lusternik-Schnirelmann category,
free tensor model
Article copyright:
© Copyright 1992
American Mathematical Society
