Rational approximations of sectional category and poincaré duality

Carrasquel Vera, Jose Gabriel;Kahl, T.;Vandembroucq, L.
(2016) Proceedings of the American Mathematical Society —

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Authors
  • Carrasquel Vera, Jose GabrielUCLouvain
    Author
  • Kahl, T.Universidade do Minho
    Author
  • Vandembroucq, L.Universidade do Minho
    Author
Abstract
Félix, Halperin, and Lemaire have shown that the rational module category Mcat and the rational Toomer invariant e0 coincide for simply connected Poincaré duality complexes. We establish an analogue of this result for the sectional category of a fibration.
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Carrasquel Vera, J. G., Kahl, T., & Vandembroucq, L. (2016). Rational approximations of sectional category and poincaré duality. Proceedings of the American Mathematical Society. https://doi.org/10.1090/proc12722