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Resumen de The rational sectional category of certain maps

José Gabriel Carrasquel-Vera

  • We give a simple algebraic characterisation of the sectional category of rational maps admitting a homotopy retraction. As a particular case we get the Felix-Halperin theorem for the rational Lusternik-Schnirelmann category and we prove the conjecture of Jessup-Murillo-Parent on rational topological complexity.

    We also give a characterisation for relative categories in the sense of Doeraene-El Haouari.


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