130 citations · 172 across the 13 of their papers we have counts for
7 papers · 1 filter
Sequential collision-free optimal motion planning algorithms in punctured Euclidean spaces
Cesar A. Ipanaque Zapata, Jesús González
In robotics, a topological theory of motion planning was initiated by M. Farber. The multitasking motion planning problem is new and its theoretical part via topological complexity…
Sectional category and The Fixed Point Property
Cesar A. Ipanaque Zapata, Jesús González
For a Hausdorff space , we exhibit an unexpected connection between the sectional number of the Fadell-Neuwirth fibration , and the fixed point property (…
Farley-Sabalka's Morse-theory model and the higher topological complexity of ordered configuration spaces on trees
Jorge Aguilar-Guzmán, Jesús González, Teresa Hoekstra-Mendoza
Using the ordered analogue of Farley-Sabalka's discrete gradient field on the configuration space of a graph, we unravel a levelwise behavior of the generators of the pure braid gr…
Effective topological complexity of orientable-surface groups
Natalia Cadavid-Aguilar, Jesús González
We use rewriting systems to spell out cup-products in the (twisted) cohomology groups of a product of surface groups. This allows us to detect a non-trivial obstruction bounding fr…
Sequential motion planning in connected sums of real projective spaces
Jorge Aguilar-Guzmán, Jesús González
In this short note we observe that the higher topological complexity of an iterated connected sum of real projective spaces is maximal possible. Unlike the case of regular TC, the…
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…
On the homotopy type of complexes of graphs with bounded domination number
Jesús González, Teresa I. Hoekstra-Mendoza
Let be the complex of graphs on vertices and domination number at least . We prove that has the homotopy type of a finite wedge of 2-spheres. This is d…