130 citations · 172 across the 13 of their papers we have counts for
23 papers
Parametrised collision-free optimal motion planning algorithms in Euclidean spaces
Cesar A. Ipanaque Zapata, Jesús González
We describe parametrised motion planning algorithms for systems controlling objects represented by points that move without collisions in an even dimensional Euclidean space and in…
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…
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…
ALMA and RATIR observations of GRB131030A
Kuiyun Huang, Yuji Urata, Satoko Takahashi +22
We report on the first open-use based Atacama Large Millimeter/submm Array (ALMA) 345-GHz observation for the late afterglow phase of GRB131030A. The ALMA observation constrained a…
The stability of the higher topological complexity of real projective spaces: an approach to their immersion dimension
Natalia Cadavid, Jesús González, Aldo Guzmán-Sáenz
The -th higher topological complexity of a space , , can be estimated from above by homotopical methods, and from below by homological methods. We give a thorough an…
SDSS IV MaNGA: The global and local stellar mass assemby histories of galaxies
Héctor J. Ibarra-Medel, Sebastián F. Sánchez, Vladimir Avila-Reese +10
By means of the fossil record method implemented through Pipe3D, we reconstruct the global and radial stellar mass growth histories (MGHs) of an unprecedentedly large sample of gal…
Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes
Jesús González, Mark Grant, Lucile Vandembroucq
Let be a two-cell complex with attaching map , and let be the cofiber of the diagonal inclusion . It is shown that the topological com…
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…
Pairwise disjoint maximal cliques in random graphs and sequential motion planning on random right angled Artin groups
Jesús González, Bárbara Gutiérrez, Hugo Mas
The clique number of a random graph in the Erdos-Renyi model G(n,p) yields a random variable which is known to be asymptotically (as n tends to infinity) almost surely within one o…
Induced nuclear activity in galaxy pairs with different morphologies (E+E), (E+S) and (S+S)
Francisco J. Hernández-Ibarra, Yair Krongold, Deborah Dultzin +5
We analysed 385 galactic spectra from the Sloan Digital Sky Survey Data Release 7 (SDSS-DR7) that belong to the catalog of isolated pairs of galaxies by Karachentsev. The spectra c…
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 cohomology ring away from 2 of configuration spaces on real projective spaces
Jesús González, Aldo Guzmán-Sáenz, Miguel Xicotencatl
Let R be a commutative ring containing 1/2. We compute the R-cohomology ring of the configuration space F(m,k) of k ordered points in the m-dimensional real projective space. The m…
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…
Geometry in the indecomposable modules of a hereditary algebra
Jesús Arturo Jiménez González
We use the theory of differential tensor algebras and their modules to produce explicit representations of extended Dynkin quivers.
Hopf Invariants for sectional category with applications to topological robotics
Jesús González, Mark Grant, Lucile Vandembroucq
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…