23 citations · 54 across the 9 of their papers we have counts for
12 papers
Linear-size graphs at every strict dismantling level
Jesús F. Espinoza, Martín Eduardo Frías-Armenta, Rosalía G. Hernández-Amador +1
Dismantling reduces a graph to one vertex by successive deletions. At level zero, a vertex is eligible if one of its neighbours is adjacent to all its other neighbours. At level $k…
Intersection properties of finite disk collections
Jesús F. Espinoza, Cynthia G. Esquer-Pérez
In this work we study the intersection properties of a finite disk system in the euclidean space. We accomplish this by utilizing subsets of spheres with varying dimensions and ana…
Stabilization of affine systems with polytopic control value sets
Horacio Leyva, B. Aguirre-Hernández, Jesús F. Espinoza
The objective of this document is to design continuous feedback controls for global asymptotic stabilization (GAS) of affine systems, with control restricted to a compact and conve…
Minimal graphs for contractible and dismantlable properties
Anton Dochtermann, Jesús F. Espinoza, Martín Eduardo Frías-Armenta +1
The notion of a contractible transformation on a graph was introduced by Ivashchenko as a means to study molecular spaces arising from digital topology and computer image analysis,…
On smooth families of exact forms
Jesus F. Espinoza, Rafael Ramos
For a smooth family of exact forms on a smooth manifold, an algorithm for computing a primitive family smoothly dependent on parameters is given. The algorithm is presented in the…
A numerical approach for the filtered generalized Cech complex
Jesus F. Espinoza, Rosalia Hernandez-Amador, Hector A. Hernandez +1
In this paper, we present an algorithm to compute the filtered generalized Čech complex for a finite collection of disks in the plane, which don't necessarily have the same radius.…
Global product structure for a space of special matrices
Horacio Leyva, Francisco A. Carrillo, Baltazar Aguirre-Hernández +1
The importance of the Hurwitz Metzler matrices and the Hurwitz symmetric matrices can be appreciated in different applications: communication networks, biology and economics are so…
Collapsibility and homological properties of -contractible transformations
Jesus F. Espinoza, Martín-Eduardo Frías-Armenta, Héctor A. Hernández
The family of -contractible graphs and contractible transformations was defined by A. Ivashchenko in the mid-90's. In this paper we study the collapsibility and homol…
Topological properties of spaces of projective unitary representations
Jesus Espinoza, Bernardo Uribe
Let be a compact and connected Lie group and be the group of projective unitary operators on a separable Hilbert space endowed with the strong ope…
Topological properties of the unitary group
Jesus Espinoza, Bernardo Uribe
We show that the strong operator topology, the weak operator topology and the compact-open topology agree on the space of unitary operators of a infinite dimensional separable Hilb…
Segal's spectral sequence in twisted equivariant K-theory for proper and discrete actions
Noe Barcenas, Jesus Espinoza, Bernardo Uribe +1
We use a spectral sequence developed by Graeme Segal in order to understand the twisted G-equivariant K-theory for proper and discrete actions. We show that the second page of this…
Universal twist in Equivariant K-theory for proper and discrete actions
Noe Barcenas, Jesus Espinoza, Michael Joachim +1
We define equivariant projective unitary stable bundles as the appropriate twists when defining K-theory as sections of bundles with fibers the space of Fredholm operators over a H…