The Ganea conjecture for rational approximations of sectional category

Carrasquel Vera, Jose Gabriel
(2016) Journal of Pure and Applied Algebra —

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  • Carrasquel Vera, Jose GabrielUCLouvain
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Abstract
We give bounds for the module sectional category of products of maps which generalise a theorem of Jessup for Lusternik–Schnirelmann category. We deduce also a proof of a Ganea type conjecture for topological complexity. This is a first step towards proving the Ganea conjecture for topological complexity in the rational context.
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Carrasquel Vera, J. G. (2016). The Ganea conjecture for rational approximations of sectional category. Journal of Pure and Applied Algebra. https://doi.org/10.1016/j.jpaa.2015.09.001