Rational approximations of sectional category and Poincaré duality
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- by José Gabriel Carrasquel-Vera, Thomas Kahl and Lucile Vandembroucq PDF
- Proc. Amer. Math. Soc. 144 (2016), 909-915 Request permission
Abstract:
Félix, Halperin, and Lemaire have shown that the rational module category $\operatorname {Mcat}$ and the rational Toomer invariant $e_0$ coincide for simply connected Poincaré duality complexes. We establish an analogue of this result for the sectional category of a fibration.References
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Additional Information
- José Gabriel Carrasquel-Vera
- Affiliation: Institut de Recherche en Mathématique et Physique, Université catholique de Louvain, 2 Chemin du Cyclotron, 1348 Louvain-la-Neuve, Belgium
- Email: jose.carrasquel@uclouvain.be
- Thomas Kahl
- Affiliation: Centro de Matemática, Universidade do Minho, Campus de Gualtar, 4710-057 Braga, Portugal
- MR Author ID: 685613
- Email: kahl@math.uminho.pt
- Lucile Vandembroucq
- Affiliation: Centro de Matemática, Universidade do Minho, Campus de Gualtar, 4710-057 Braga, Portugal
- MR Author ID: 657398
- Email: lucile@math.uminho.pt
- Received by editor(s): October 7, 2014
- Received by editor(s) in revised form: January 8, 2015
- Published electronically: June 9, 2015
- Additional Notes: The research of the first author was supported by FEDER through the Ministerio de Educación y Ciencia project MTM2010-18089. The research of the second and third authors was supported by FCT - Fundação para a Ciência e a Tecnologia through projects PTDC/MAT/0938317/2008 and PEstOE/MAT/UI0013/2014.
- Communicated by: Michael A. Mandell
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 909-915
- MSC (2010): Primary 55M30, 55P62
- DOI: https://doi.org/10.1090/proc12722
- MathSciNet review: 3430865