Data

NameVilches Alarcón, José Antonio
DepartmentGeometría y Topología
Knowledge areaGeometría y Topología
Professional categoryProfesor Contratado Doctor
E-mailRequest
           

  Statistics

  • Items

    13

  • Visits

    998

  • Downloads

    2185

  Publications

 

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Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)  [Article]

Ayala Gómez, Rafael; Bernal González, Luis; Calderón Moreno, María del Carmen; Vilches Alarcón, José Antonio (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, ...
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Una Introducción a la pretopología  [Final Degree Work]

Ayala Gómez, Rafael; Vilches Alarcón, José Antonio; Velaure Valera, Elena (2019-01-01)
The main goal of this Final Degree Project is the study of pretopological spaces. Being more precise, certain properties ...
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Simplicial Lusternik-Schnirelmann category  [Article]

Fernández Ternero, Desamparados; Macías Virgós, Enrique; Minuz, Erica; Vilches Alarcón, José Antonio (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 ...
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Espacios pretopológicos: algunas aplicaciones  [Final Degree Work]

Ayala Gómez, Rafael; Vilches Alarcón, José Antonio; González Puntas, Gloria (2018-01-01)
The goal of this work is to study the theory of pretopological spaces and some applications. Starting with the key notion ...
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Sobre las diferentes nociones topológicas de complejo y algunas de sus aplicaciones  [Final Degree Work]

Ayala Gómez, Rafael; Vilches Alarcón, José Antonio; Núñez de Arco Valenzuela, Laura (2016-12-01)
The main goal of this work is to introduce the different kinds of combinatorial structures used in topological data analysis. ...
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La categoría de Lusternik-Schnirelmann de los espacios finitos. Enunciado y discusión de un problema  [Final Degree Work]

Quintero Toscano, Antonio Rafael; Vilches Alarcón, José Antonio; Pavón Díaz, Álvaro (2016-01-01)
El trabajo presenta el invariante homotópico conocido como categoría de Lusternik-Schnirelmann (categoría LS, para ...
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Lusternik-Schnirelmann category of simplicial complexes and finite spaces  [Article]

Fernández Ternero, Desamparados; Macías Viirgós, Enrique; Vilches Alarcón, José Antonio (Elsevier, 2015-10-01)
In this paper we establish a natural definition of Lusternik-Schnirelmann category for simplicial complexes via the well ...
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Counting excellent discrete Morse functions on compact orientable surfaces  [Article]

Ayala Gómez, Rafael; Fernández Ternero, Desamparados; Vilches Alarcón, José Antonio (Universidad de Sevilla, 2010-01-01)
We obtain the number of non-homologically equivalent excellent discrete Morse functions defined on compact orientable surfaces. This work is a continuation of the study which has been done in [2, 4] for graphs.
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Perfect discrete Morse functions on 2-complexes  [Article]

Ayala Gómez, Rafael; Fernández Ternero, Desamparados; Vilches Alarcón, José Antonio (Universidad de Sevilla, 2010-01-01)
This paper is focused on the study of perfect discrete Morse functions on a 2-simplicial complex. These are those discrete ...
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Discrete Morse inequalities on infinite graphs  [Article]

Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio; Ayala Gómez, Rafael (2009-01-01)
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Critical elements of proper discrete Morse functions  [Article]

Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Editorial Board of Mathematica Pannonica, 2008-01-01)
The aim of this paper is to study the notion of critical element of a proper discrete Morse function defined on non-compact ...
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Funciones de Morse discretas sobre complejos infinitos  [PhD Thesis]

Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (2003-01-01)
Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría ...
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Desigualdades de Morse generalizadas sobre grafos  [Presentation]

Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Alberto Márquez, 2002-01-01)