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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
Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
(Elsevier, 2019-04-01)
We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, under appropriate mild assumptions, there exists in fact a plethora of such functions, in both ...
Tesis Doctoral
Invariant functions and contractions of algebras.
(2019-04-08)
Artículo
A closed form for slant submanifolds of generalized Sasakian space forms
(MDPI, 2019-12-13)
The Maslov form is a closed form for a Lagrangian submanifold of Cm, and it is a conformal form if and only if M satisfies the equality case of a natural inequality between the norm of the mean curvature and the scalar ...
Artículo
Quasi-isometries and proper homotopy: The quasi-isometry invariance of proper 3-realizability of groups
(American Mathematical Society, 2019-04-01)
We recall that a finitely presented group G is properly 3-realizable if for some finite 2-dimensional CW-complex X with π1(X) ∼= G, the universal cover X has the proper homotopy type of a 3-manifold. This purely ...
Artículo
An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics
(MDPI, 2019)
Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of the evolution algebra describing the genetic pattern of the inheritance process. We identify any ...
Artículo
Bi-slant submanifolds of para Hermitian manifolds
(MDPI, 2019-07-11)
In this paper, we introduce the notion of bi-slant submanifolds of a para Hermitian manifold. They naturally englobe CR, semi-slant, and hemi-slant submanifolds. We study their first properties and present a whole gallery ...