Listar Artículos (Geometría y Topología) por autor "Vilches Alarcón, José Antonio"
Mostrando ítems 1-7 de 7
-
Artículo
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 ...
- Artículo
-
Artículo
Fundamental theorems of Morse theory on posets
(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 ...
-
Artículo
Lusternik-Schnirelmann category of simplicial complexes and finite spaces
(Elsevier, 2015-10)In this paper we establish a natural definition of Lusternik-Schnirelmann category for simplicial complexes via the well ...
-
Artículo
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 ...
-
Artículo
Simplicial Lusternik-Schnirelmann category
(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 ...
-
Artículo
Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)
(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, ...