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Critical elements of proper discrete Morse functions


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Author: Ayala Gómez, Rafael
Fernández Fernández, Luis Manuel
Vilches Alarcón, José Antonio
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2008
Published in: Mathematica Pannonica, 19 (2), 171-185.
Document type: Article
Abstract: The aim of this paper is to study the notion of critical element of a proper discrete Morse function defined on non-compact graphs and surfaces. It is an extension to the non-compact case of the concept of critical simplex which takes into account the monotonous behaviour of a function at the ends of a complex. We show how the number of critical elements are related to the topology of the complex.
Cite: Ayala Gómez, R., Fernández Fernández, L.M. y Vilches Alarcón, J.A. (2008). Critical elements of proper discrete Morse functions. Mathematica Pannonica, 19 (2), 171-185.
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