15 citations · 15 across the 2 of their papers we have counts for
5 papers · 1 filter
Effectual Topological Complexity
Natalia Cadavid-Aguilar, Jesús González, Bárbara Gutiérrez +1
We introduce the effectual topological complexity (ETC) of a -space . This is a -equivariant homotopy invariant sitting in between the effective topological complexity of…
Linear motion planning with controlled collisions and pure planar braids
Jesús González, José Luis León-Medina, Christopher Roque
We compute the Lusternik-Schnirelmann category (LS-cat) and the higher topological complexity (, ) of the "no--equal" configuration space Conf. T…
Topological complexity of collision-free multi-tasking motion planning on orientable surfaces
Jesús González, Bárbara Gutiérrez
We compute the higher topological complexity of ordered configuration spaces of orientable surfaces, thus extending Cohen-Farber's description of the ordinary topological complexit…
Motion planning in real flag manifolds
Jesús González, Barbara Gutiérrez, Darwin Gutiérrez +1
Starting from Borel's description of the mod-2 cohomology of real flag manifolds, we give a minimal presentation of the cohomology ring for semi complete flag manifolds $F_{k,m}:=F…
The higher topological complexity of subcomplexes of products of spheres---and related polyhedral product spaces
Jesús González, Bárbara Gutiérrez, Sergey Yuzvinsky
We construct "higher" motion planners for automated systems whose space of states are homotopy equivalent to a polyhedral product space , e.g. robot arms…