Module sectional category of products
J.G. Carrasquel-Vera, P.-E. Parent, L. Vandembroucq
TL;DR
This paper extends a known result on Lusternik-Schnirelmann category to a rational approximation of Schwarz's sectional category, showing it is additive over product fibrations.
Contribution
It proves the additivity of a rational approximation of Schwarz's sectional category for product fibrations, generalizing previous work on Lusternik-Schnirelmann category.
Findings
Additivity of rational sectional category for product fibrations
Extension of Félix-Halperin-Lemaire's results
New insights into sectional category behavior under products
Abstract
Extending a result of F\'elix-Halperin-Lemaire on Lusternik-Schnirelmann category of products, we prove additivity of a rational approximation for Schwarz's sectional category with respect to products of fibrations.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology