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arXiv · 1503.07314

The rational sectional category of certain maps

J. G. Carrasquel-Vera
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Abstract

We give a simple algebraic characterisation of the sectional category of rational maps admitting a homotopy retraction. As a particular case we get the Félix-Halperin theorem for rational Lusternik-Schnirelmann category and prove the conjecture of Jessup-Murillo-Parent on rational topological complexity. We also give a characterisation for relative category in the sense of Doeraene-El Haouari.

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J. G. Carrasquel-Vera. 2016-04-12. The rational sectional category of certain maps. https://arxiv.org/abs/1503.07314

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