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Advisor(s)
Abstract(s)
By 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.
Description
Keywords
Sectional category Topological complexity
Citation
SUAREZ, 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. 103-120
Publisher
American Mathematical Society