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arXiv · 1506.03866

The Ganea conjecture for rational approximations of sectional category

J. G. Carrasquel-Vera
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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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J. G. Carrasquel-Vera. 2015-06-11. The Ganea conjecture for rational approximations of sectional category. https://arxiv.org/abs/1506.03866

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