We study the topological invariant TC (X) reflecting the complexity of algorithms for
autonomous robot motion. Here, X stands for the configuration space of a system and TC (X) …

In this article we study the higher topological complexity TC r (X) in the case when X is an
aspherical space, X= K (π, 1) and r≥ 2. We give a characterisation of TC r (K (π, 1)) in terms …

We generalize results from topological robotics on the topological complexity (TC) of
aspherical spaces to sectional categories of fibrations inducing subgroup inclusions on the …

We show that the topological complexity of an aspherical space X is bounded below by the
cohomological dimension of the direct product A× B, whenever A and B are subgroups of π …

arXiv:1708.05245v1 [math.AT] 17 Aug 2017 Page 1 arXiv:1708.05245v1 [math.AT] 17 Aug
2017 Rational homotopy theory via Sullivan models: A survey Yves Félix and Steve …

Topological complexity of monotone symplectic manifolds Page 1 arXiv:2311.14989v1 [math.AT]
25 Nov 2023 TOPOLOGICAL COMPLEXITY OF MONOTONE SYMPLECTIC MANIFOLDS …

For a graph can be realized as a polyhedral product, we study the LS category and
topological complexity of more general polyhedral product spaces. In particular, we use the …

We develop a theory of generalized Hopf invariants in the setting of sectional category. In
particular, we show how Hopf invariants for a product of fibrations can be identified as …

We generalize results from topological robotics on the topological complexity (TC) of
aspherical spaces to sectional categories of fibrations inducing subgroup inclusions on the …

We give a simple algebraic characterisation of the sectional category of rational maps
admitting a homotopy retraction. As a particular case we get the F\'elix-Halperin theorem for …