Rational approximations of sectional category and Poincaré duality

2014/10/07 by Carrasquel-Vera, José Gabriel, Kahl, Thomas, Vandembroucq, Lucile · 1 citation
#55M30 #55P62 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.1689

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.

Cited by

• Secondary cohomology operations and sectional category

Related

• Module sectional category of products
• Computations in rational sectional category
• The Rational Sectional Category of Certain Universal Fibrations
• Rational methods applied to sectional category and topological complexity
• The rational sectional category of certain maps