2 citations · 2 across the 3 of their papers we have counts for
11 papers
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…
On Lusternik-Schnirelmann category and topological complexity of no k-equal manifolds
Jesús González, José Luis León-Medina
We compute the Lusternik-Schnirelmann category and the topological complexity of no -equal manifolds for certain values of , and . This includes instanc…
Equivariant Nerve Lemma, simplicial difference, and models for configuration spaces on simplicial complexes
Emilio J. González, Jesús González
Wiltshire-Gordon has introduced a homotopy model for ordered configuration spaces on a given simplicial complex. That author asserts that, after a suitable subdivision, his model a…
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…