Q-Topological Complexity
classification
🧮 math.AT
keywords
categorycomplexityq-topologicalanalogybehaviourclassicaldefinedestablish
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By analogy with the invariant Q-category defined by Scheerer, Stanley and Tanr\'e, 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.
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