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arXiv · 1410.1689

Rational approximations of sectional category and Poincaré duality

José Gabriel Carrasquel-Vera·Thomas Kahl·Lucile Vandembroucq
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Abstract

Félix, Halperin, and Lemaire have shown that the rational module category 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.

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José Gabriel Carrasquel-Vera, Thomas Kahl, Lucile Vandembroucq. 2014-10-07. Rational approximations of sectional category and Poincaré duality. https://arxiv.org/abs/1410.1689

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