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- Q-topological complexityPublication . Fernández-Suárez, Lucía; Vandembroucq, LucileBy analogy with the invariant Q-category defined by Scheerer, Stanley and Tanre, we introduce the notions of Q-sectional category and Q-topological complexity. We establish several properties of these invariants. We also obtain a formula for the behaviour of the sectional category with respect to a fibration which generalizes the classical formulas for Lusternik-Schnirelmann category and topological complexity.