Fernández-Suárez, LucíaVandembroucq, Lucile2021-07-142021-07-142018SUAREZ, Lucía Fernandez; VANDEMBROUCQ, Lucile – Q-topological complexity. In Mini-Workshop on Topological Complexity and Related Topics. Oberwolfach, Germany: American Mathematical Society, 2018. ISBN 978-1-4704-3436-6. Vol. 702, pp. 103-120978-1-4704-3436-60271-4132http://hdl.handle.net/10400.21/13550By 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.engSectional categoryTopological complexityconference object10.1090/conm/702/141101098-3627