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Mostrando ítems 1-10 de 15
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
Relating the Freiheitssatz to the asymptotic behavior of a group
(European Mathematical Society, 2013)
We are concerned with the implications of the Freiheitssatz property for certain group presentations in terms of proper homotopy invariants of the underlying group, by describing its fundamental pro-group. A finitely ...
Artículo
The Freudenthal compactification of tree-like generalized continua
(Auburn University, 2013)
Tree-likeness of generalized continua is defined by means of inverse limits of locally finite trees with proper bonding maps. The main theorem of this paper shows that the Freudenthal compactification preserves and reflects ...
Ponencia
Combinatorial structures of three vertices and Lie algebras
(Computational and Mathematical Methods in Science and Engineering, 2011)
In this paper, we characterize digraphs of 3 vertices associated with Lie algebras according to isomorphism classes of these associated Lie algebras. At this respect, we introduce and implement two algorithmic methods: the ...
Artículo
Irreducible triangulations of the once-punctured torus
(Sobolev Institute of Mathematics, 2018)
A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex while remaining in the category of simplicial complexes and preserving the topology of the surface. A ...
Artículo
On the classifying space for proper actions of groups with cyclic torsion
(De Gruyter, 2014-01)
In this paper we introduce a common framework for describing the topological part of the Baum-Connes conjecture for a wide class of groups. We compute the Bredon homology for groups with aspherical presentation, one-relator ...
Artículo
Graph operations and Lie algebras
(Taylor & Francis, 2013)
This paper deals with several operations on graphs and combinatorial structures linking them with their associated Lie algebras. More concretely, our main goal is to obtain some criteria to determine when there exists a ...
Artículo
Generalized (κ,μ)-space forms
(Springer, 2013-02)
Generalized (κ, µ)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.
Artículo
Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
(Springer, 2015-04)
In this paper, we study how two important ideals of a given Lie algebra g (namely, the center Z(g) and the derived Lie algebra D(g)) can be translated into the language of Graph Theory. In this way, we obtain some criteria ...
Artículo
Generating families of surface triangulations. The case of punctured surfaces with inner degree at least 4
(2015)
We present two versions of a method for generating all triangulations of any punctured surface in each of these two families: (1) triangulations with inner vertices of degree ≥ 4 and boundary vertices of degree ≥ 3 and (2) ...