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Artículo
Simplicial Lusternik-Schnirelmann category
(Universidad Autónoma de Barcelona, 2019-01-01)
The simplicial LS-category of a nite abstract simplicial complex is a new invariant of the strong homotopy type, de ned in purely combinatorial terms. We prove that it generalizes to arbitrary simplicial complexes the ...
Artículo
On manifolds with nonhomogeneous factors
(Springer, 2012-06)
We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) with nonhomogeneous and nonrigid factors. In particular, we give an elementary solution of an old ...
Artículo
Artículo
Rigidity of pseudo-isotropic immersions
(Elsevier, 2009-07)
Several notions of isotropy of a (pseudo)Riemannian manifold have been introduced in the literature, in particular, the concept of pseudo-isotropic immersion. The aim of this paper is to look more closely at this notion ...
Artículo
Estudiando figuras y cuerpos geométricos de forma poética
(Sociedad Argentina de Educación Matemática, 2013-02)
En este artículo, los autores muestran algunas poesías matemáticas relacionadas con las figuras y cuerpos geométricos. Su objetivo es, por una parte, facilitar al profesor de Matemáticas de los niveles de Primaria, Secundaria ...
Artículo
Una propuesta para utilizar la Historia de las Matemáticas en las clases de Primaria y Secundaria
(Asociación de Profesores de Matemáticas de Andalucía, 2012)
En este artículo, los autores proponen a los profesores de Matemáticas, principalmente de 5º y 6º de Primaria y 1º de Secundaria, la posibilidad de usar la Historia de las Matemáticas como recurso metodológico en sus clases, ...
Artículo
Graphs associated with nilpotent Lie algebras of maximal rank
(European Mathematical Society, 2003)
In this paper, we use the graphs as a tool to study nilpotent Lie algebras. It implies to set up a link between graph theory and Lie theory. To do this, it is already known that every nilpotent Lie algebra of maximal rank ...
Artículo
Expanders and right-angled Artin groups
(World Scientific Publishing Company, 2021)
The purpose of this paper is to give a characterization of families of expander graphs via right-angled Artin groups. We prove that a sequence of simplicial graphs {Γi}i∈N forms a family of expander graphs if and only ...
Ponencia
Distribution of low dimensional Malcev algebras over finite fields into isomorphism and isotopism classes
(2015)
This paper addresses the distribution into isomorphism and isotopism classes of the set Mn,p of n-dimensional Malcev algebras over the finite field Fp, with p prime. This distribution is explicitly determined for dimension ...
Artículo
Un paseo fotográfico por la vida de Sophus Lie
(Sociedad Colombiana de Matemáticas, 2010)
It is quite a lot scarce the literature on the Norwegian mathematician Sophus Lie, in spite of being him, as the great volume of his works demonstrates, one of the most important mathematicians throughout the history. In ...