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arXiv · 1701.05845

Q-Topological Complexity

Lucía Fernández Suárez·Lucile Vandembroucq
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Abstract

By analogy with the invariant Q-category defined by Scheerer, Stanley and Tanré, 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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Lucía Fernández Suárez, Lucile Vandembroucq. 2017-01-20. Q-Topological Complexity. https://arxiv.org/abs/1701.05845

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