Rational approximations of sectional category and Poincaré duality

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.

7 pages

References in corpus (1)

• Joins of DGA modules and sectional category

Cited by in corpus (1)

• The Ganea conjecture for rational approximations of sectional category