Author profile: Vilches Alarcón, José Antonio
Institutional data
Name | Vilches Alarcón, José Antonio |
Department | Geometría y Topología |
Knowledge area | Geometría y Topología |
Professional category | Profesor Contratado Doctor |
Request | |
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Statistics
-
No. publications
18
-
No. visits
2396
-
No. downloads
5693
Publications |
---|
Master's Final Project
![]() Funciones de Morse Excelentes en Pseudosuperficies trianguladas
(2022)
El objetivo principal de este trabajo es determinar cuántas funciones de Morse discretas excelentes (inyectivas para los ... |
Final Degree Project
![]() Teoría de morse discreta
(2022)
Since it was introduced by Marston Morse in the 1920s, Morse Theory has been one of the most powerful and useful tool for ... |
Article
![]() Fundamental theorems of Morse theory on posets
(AIMS, 2022)
We prove a version of the fundamental theorems of Morse theory in the setting of finite partially ordered sets. By using ... |
Article
![]() Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem
(World Scientific Publishing Company, 2021)
We develop Morse–Bott theory on posets, generalizing both discrete Morse–Bott theory for regular complexes and Morse theory ... |
Final Degree Project
![]() La topología gráfica sobre torneos
(2020)
El objetivo de esta memoria es definir una topología no trivial sobre torneos, no solo finitos, sino torneos infinitos ... |
Article
![]() Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
(Elsevier, 2019)
We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, ... |
Article
![]() Simplicial Lusternik-Schnirelmann category
(Universidad Autónoma de Barcelona, 2019)
The simplicial LS-category of a nite abstract simplicial complex is a new invariant of the strong homotopy type, de ned ... |
Final Degree Project
![]() Una Introducción a la pretopología
(2019)
The main goal of this Final Degree Project is the study of pretopological spaces. Being more precise, certain properties ... |
Final Degree Project
![]() Espacios pretopológicos: algunas aplicaciones
(2018)
The goal of this work is to study the theory of pretopological spaces and some applications. Starting with the key notion ... |
Final Degree Project
![]() Sobre las diferentes nociones topológicas de complejo y algunas de sus aplicaciones
(2016)
The main goal of this work is to introduce the different kinds of combinatorial structures used in topological data analysis. ... |
Final Degree Project
![]() La categoría de Lusternik-Schnirelmann de los espacios finitos. Enunciado y discusión de un problema
(2016)
El trabajo presenta el invariante homotópico conocido como categoría de Lusternik-Schnirelmann (categoría LS, para ... |
Article
![]() Lusternik-Schnirelmann category of simplicial complexes and finite spaces
(Elsevier, 2015)
In this paper we establish a natural definition of Lusternik-Schnirelmann category for simplicial complexes via the well ... |
Article
![]() Counting excellent discrete Morse functions on compact orientable surfaces
(Universidad de Sevilla, 2010)
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. |
Article
![]() Perfect discrete Morse functions on 2-complexes
(Universidad de Sevilla, 2010)
This paper is focused on the study of perfect discrete Morse functions on a 2-simplicial complex. These are those discrete ... |
Article |
Article
![]() Critical elements of proper discrete Morse functions
(Editorial Board of Mathematica Pannonica, 2008)
The aim of this paper is to study the notion of critical element of a proper discrete Morse function defined on non-compact ... |
PhD Thesis
![]() Funciones de Morse discretas sobre complejos infinitos
(2003)
Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría ... |
Presentation
![]() Desigualdades de Morse generalizadas sobre grafos
(Alberto Márquez, 2002)
|