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Listar Geometría y Topología por autor "Vilches Alarcón, José Antonio"
Mostrando ítems 1-9 de 9
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Artículo
Critical elements of proper discrete Morse functions
Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (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 ...
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Ponencia
Desigualdades de Morse generalizadas sobre grafos
Ayala Gómez, Rafael; Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio (Alberto Márquez, 2002) -
Artículo
Discrete Morse inequalities on infinite graphs
Fernández Fernández, Luis Manuel; Vilches Alarcón, José Antonio; Ayala Gómez, Rafael (2009) -
Tesis Doctoral
Funciones de Morse discretas sobre complejos infinitos
Vilches Alarcón, José Antonio (2003)Esta memoria está dedicada a la extensión para complejos simpliciales infinitos de los conceptos y resultados de la teoría ...
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Artículo
Fundamental theorems of Morse theory on posets
Fernández Ternero, Desamparados; Macías Virgos, Enrique; Mosquera Lois, David; Vilches Alarcón, José Antonio (AIMS, 2022-01-13)We prove a version of the fundamental theorems of Morse theory in the setting of finite partially ordered sets. By using ...
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Artículo
Lusternik-Schnirelmann category of simplicial complexes and finite spaces
Fernández Ternero, Desamparados; Macías Virgós, Enrique; Vilches Alarcón, José Antonio (Elsevier, 2015-10)In this paper we establish a natural definition of Lusternik-Schnirelmann category for simplicial complexes via the well ...
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Artículo
Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem
Fernández Ternero, Desamparados; Macías Virgós, Enrique; Mosquera Lois, David; Vilches Alarcón, José Antonio (World Scientific Publishing Company, 2021)We develop Morse–Bott theory on posets, generalizing both discrete Morse–Bott theory for regular complexes and Morse ...
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Artículo
Simplicial Lusternik-Schnirelmann category
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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Artículo
Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
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, ...