Los espacios topológicos finitos son una clase de espacios que nos permiten obtener información sobre espacios continuos ...

Recall that two finitely presented groups G and H are “proper 2–equivalent” if they can be realized by finite 2–dimensional ...

Motivated by the notion of boundary for hyperbolic and groups, Bestvina [2] introduced the notion of a (weak) -structure ...

El objetivo de este trabajo es detallar la interpretaci´on combinatoria de las equivalencias de homotop´ıa entre espacios ...

En este trabajo se estudia la topología básica de los espacios finitos y, más generalmente, los espacios de Alexandrov ...

As a sequel of a previous paper by the authors, we present here a generating theorem for the family of triangulations of ...

El objetivo de este trabajo es presentar las estructuras de los cristales como ejemplos motivadores para una iniciación a ...

Digital topology deals with topological features of 2-D and 3-D digital imagery. Digital images can be represented on a ...

In this paper, we consider an equivalence relation within the class of finitely presented discrete groups attending to ...

We recall that a finitely presented group G is properly 3-realizable if for some finite 2-dimensional CW-complex X with ...

El objetivo de este trabajo consiste en relacionar el invariante por homotopía conocido como cate goría de Lusternik-Schnirelmann ...

La teoría algebraica de grafos se ocupa de la relación entre las propiedades de la estructura combinatoria de un grafo y ...

El trabajo presenta el invariante homotópico conocido como categoría de Lusternik-Schnirelmann (categoría LS, para ...

We present two versions of a method for generating all triangulations of any punctured surface in each of these two families: ...

A complete list of irreducible triangulations is identified on the Möbius band.

Tree-likeness of generalized continua is defined by means of inverse limits of locally finite trees with proper bonding ...

We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) ...

Several recent results by Thomassen ([23 The locally connected compatc metric spaces embeddable in the plane, Combinatorica ...

In this paper we study when Freudenthal extensions of proper maps preserve the (weak, semi) confluency. Also the extensions to the Alexandroff one-point compactificaton are considered.

For each adjacency pair (k, k) != (6, 6), k, k ∈ {6, 18, 26}, we introduce a new family Skk of surfaces in the discrete ...

How different is the universal cover of a given finite 2-complex from a 3-manifold (from the proper homotopy viewpoint)? ...

Esta Memoria es una contribución al estudio de las propiedades topogeométricas de los continuos generalizados; es decir, espacios métricos separables, conexos y localmente compactos.

In this paper, we show that the class of all properly 3-realizable groups is closed under amalgamated free products (and ...

We extend Lawrencenko and Negami’s results in [4, 5] by establishing lower and upper bounds for the number of irreducible triangulations of the punctured torus and the punctured Klein bottle.

As a sequel of [4] Ayala, R., E. Dom´ıguez, A. R. Franc´es and A. Quintero, Homotopy in Digital Spaces, Discrete and Applied ...

The main contribution of this paper is a new “extrinsic” digital fundamental group that can be readily generalized to ...

Classical results about the Lusternik-Schnirelmann category of product spaces have their analogues in the category of ...

In this note we show that 1-skeletons and 2-skeletons of n-pseudomanifolds with full boundary are (n+ 1)-connected graphs and n-connected 2-complexes, respectively. This generalizes previous results due to Barnette and Woon.

This paper is devoted to prove a Digital Index Theorem for digital (n − 1)-manifolds in a digital space (Rn, f), where f ...

En la tesis que se presenta se extienden fundamentalmente algunos resultados y metodologías de mediados de los años 80 y ...

This paper contains a study of the connectivity of infinite graphs and 2-complexes. Various connectivity types are defined ...

"El lenguaje de la topología general permite formular precisa y concisamente numerosos problemas bajo un punto de vista ...

We extend a theorem of S. Claytor in order to characterize the Peano generalized continua which are embeddable into the ...

S. Mazurkiewicz remarked after his proof of the celebrated HahnMazurkiewicz Theorem ([5]) that any generalized Peano ...

In the classical paper [A-H] Adams-Hilton constructed a free chain algebra which is an important algebraic model of a ...

In R. Ayala, E. Domínguez, A.R. Francés, A. Quintero, J. Rubio. A Polyhedral Approach to Digital Topology a new framework ...

Moore spaces are de ned in proper homotopy theory. Some results on the existence and uniqueness of those spaces are proven. An example of two non properly equivalent Moore spaces is given.

El propósito esencial de esta memoria es el de describir varios algoritmos de cálculo de homología efectiva de los espacios ...

We introduce and study proper homotopy invariants of the Lusternik-Schnirelmann type, p-cat (-), p-Cat(-), and cat e(-) ...

This note gives conditions which assure that the one-point compactification of an open manifold is a manifold. This result is used to show that the homotopical characterization of Rn (n ≥ 4) can be derived from the Poincaré Conjecture.

This work presents a classification of the proper homotopy types of locally finite 1-dimensional CW-complexes.

This paper gives an axiomatical approximation to Bordism Theory. It proves those properties of a geometrical nature that a class of models must satisfy to develop a bordism theory in an abstract category.

El objeto de este trabajo es sistematizar una técnica que intenta atacar el problema de existencia de secciones de funciones ...

The purpose of this note is to prove the exponential law for uniformly continuous proper maps.

En este artículo probamos que las variedades de homología (HML-variedades) definen una teoría de bordismo singular que es ...

Extendemos los teoremas de doble suspensión de Edwards y Cannon a ciertas bolas de homología simplemente conexas. Como ...

In this paper we define the CPL-manifolds and we prove, by using a desingularization procedure, that these objects give a ...