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Ponencia
Critical and forcing sets related to the autotopism group of a Latin square
(2006)
In Cryptography, critical sets of any Latin square L can be used to get the access structure of a secret sharing scheme [2, 6] having triples of L as shares. In such a scheme, further information about the symmetry of L ...
Artículo
Homotopy in digital spaces
(Elsevier, 2003-01-15)
The main contribution of this paper is a new “extrinsic” digital fundamental group that can be readily generalized to define higher homotopy groups for arbitrary digital spaces. We show that the digital fundamental group ...
Artículo
Nullification functors and the homotopy type of the classifying space for proper bundles
(Mathematical Sciences Publishers, 2005-09)
Let G be a discrete group for which the classifying space for proper G-actions is finite-dimensional. We find a space W such that for any such G, the classifying space BG for proper G-bundles has the homotopy type of the ...
Artículo
The Gauss-Landau-Hall problem on Riemannian surfaces
(AIP Publishing, 2005)
We introduce the notion of Gauss-Landau-Hall magnetic field on a Riemannian surface. The corresponding Landau-Hall problem is shown to be equivalent to the dynamics of a massive boson. This allows one to view that problem ...
Artículo
Submanifolds weakly associated with graphs
(Indian Academy of Sciences, 2009-06)
We establish an interesting link between differential geometry and graph theory by defining submanifolds weakly associated with graphs. We prove that, in a local sense, every submanifold satisfies such an association, and ...
Artículo
A particular case of extended isotopisms: Santilli's isotopisms
(Hadronic Press, 2006)
Due to a mathematical necessity, it has been proved that it is convenient to give a new interpretation of the multiplicity of Santilli's isounity Ib = Ib(x, v, t, µ, ρ, ...) of any Santilli's isotopism, as a family of ...
Tesis Doctoral
La sucesión de fibración homotópica de K-teorías asociada a la localización de categorías exactas
(2001)
En la tesis que se presenta se extienden fundamentalmente algunos resultados y metodologías de mediados de los años 80 y 90 sobre la k-categoría algebraica de categorías aditivas al estudio de la k-categoría algebraica de ...
Artículo
Description of some families of filiform Lie algebras
(University of Houston, 2008)
In this paper we describe some families of filiform Lie algebras by giving a method which allows to obtain them in any arbitrary dimension n starting from the triple (p, q, m), where m = n and p and q are, respectively, ...
Tesis Doctoral
Subvariedades en espacios de curvatura Ø-seccional constante generalizados
(2005)
La curvatura de Riemann es una importante herramienta en el estudio de variedades. Así, es de sobra conocida la clasificación de los espacios de curvatura constante en función del valor de dicha curvatura. En Geometría ...
Artículo
La banda de Möbius: un camino que te llevará de cabeza
(Federacion Española de Sociedades de Profesores de Matemáticas, 2007-02)
Este artículo se ha escrito con el objetivo de mostrar la superficie geométrica denominada banda de Möbius como herramienta para potenciar la motivación e interés de los alumnos, tanto de bachillerato como universitarios, ...