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Artículo
Amalgamated products and properly 3-realizable groups
(Elsevier, 2007-01)
In this paper, we show that the class of all properly 3-realizable groups is closed under amalgamated free products (and HNN-extensions) over finite groups. We recall that G is said to be properly 3-realizable if there ...
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 ...
Artículo
Proper 2–equivalences between infinite ended finitely presented groups
(Mathematical Sciences Publishers, 2023-03-27)
Recall that two finitely presented groups G and H are “proper 2–equivalent” if they can be realized by finite 2–dimensional CW–complexes whose universal covers are proper 2–equivalent as (strongly) locally finite ...
Artículo
A digital index theorem
(World Scientific Publishing, 2001-11)
This paper is devoted to prove a Digital Index Theorem for digital (n − 1)-manifolds in a digital space (Rn, f), where f belongs to a large family of lighting functions on the standard cubical decomposition Rn of the ...
Artículo
One-relator groups and proper 3-realizability
(European Mathematical Society, 2009)
How different is the universal cover of a given finite 2-complex from a 3-manifold (from the proper homotopy viewpoint)? Regarding this question, we recall that a finitely presented group G is said to be properly 3-realizable ...
Artículo
Doble suspensión de bolas de homología
(Real Academia de Ciencias Exactas, Físicas y Naturales, 1986)
Extendemos los teoremas de doble suspensión de Edwards y Cannon a ciertas bolas de homología simplemente conexas. Como consecuencia, damos una caracterización de las variedades de homología con borde que son variedades ...
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) ...
Artículo
Irreducible triangulations of the Möbius band
(Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova, 2014)
A complete list of irreducible triangulations is identified on the Möbius band.
Artículo
Digital homotopy with obstacles
(Elsevier, 2004-04-30)
As a sequel of [4] Ayala, R., E. Dom´ıguez, A. R. Franc´es and A. Quintero, Homotopy in Digital Spaces, Discrete and Applied Mathematics, To Appear, this paper is devoted to the computation of the digital fundamental group ...