The rational LS-category of -trivial fibrations

Authors:
Maxence Cuvilliez and Barry Jessup

Journal:
Proc. Amer. Math. Soc. **131** (2003), 2223-2233

MSC (2000):
Primary 53C29, 55M30, 55P62, 55R05

DOI:
https://doi.org/10.1090/S0002-9939-02-06772-2

Published electronically:
October 15, 2002

MathSciNet review:
1963771

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We provide new upper and lower bounds for the rational LS-category of a rational fibration of simply connected spaces that depend on a measure of the triviality of which is strictly finer than the vanishing of the higher holonomy actions. In particular, we prove that if is *-trivial* for some and enjoys Poincaré duality, then

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Additional Information

**Maxence Cuvilliez**

Affiliation:
Centre de Recerca Matemàtica, Barcelona, Spain

Email:
mcuvilli@crm.es

**Barry Jessup**

Affiliation:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada K1N 6N5

Email:
bjessup@uottawa.ca

DOI:
https://doi.org/10.1090/S0002-9939-02-06772-2

Keywords:
Lusternik-Schnirelmann category,
holonomy,
minimal model

Received by editor(s):
October 10, 2000

Received by editor(s) in revised form:
February 21, 2002

Published electronically:
October 15, 2002

Additional Notes:
This research was partially supported by L’Université Catholique de Louvain-la-Neuve and by the National Science and Engineering Research Council of Canada. The second author thanks colleagues at UCL for their unstinting hospitality during a recent visit

Communicated by:
Ralph Cohen

Article copyright:
© Copyright 2002
American Mathematical Society