Q-Topological Complexity
Algebraic Topology
2017-01-23 v1
Abstract
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.
Cite
@article{arxiv.1701.05845,
title = {Q-Topological Complexity},
author = {Lucía Fernández Suárez and Lucile Vandembroucq},
journal= {arXiv preprint arXiv:1701.05845},
year = {2017}
}