Artículo

The Cylinder of a Relation and Generalized Versions of the Nerve Theorem

Fernández, Ximena LauraIcon ; Minian, Elias GabrielIcon
Fecha de publicación: 04/2020
Editorial: Springer
Revista: Discrete And Computational Geometry
ISSN: 0179-5376
e-ISSN: 1432-0444
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We introduce the notion of cylinder of a relation in the context of posets, extending the construction of the mapping cylinder. We establish a local-to-global result for relations, generalizing Quillen’s Theorem A for order preserving maps, and derive novel formulations of the classical Nerve Theorem for posets and simplicial complexes, suitable for covers with not necessarily contractible intersections.
Palabras clave: FINITE TOPOLOGICAL SPACES , NERVE , POSETS , QUILLEN’S THEOREM A , RELATIONS
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/182478
URL: https://link.springer.com/article/10.1007/s00454-018-0028-7
DOI: https://doi.org/10.1007/s00454-018-0028-7
Colecciones
Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Fernández, Ximena Laura; Minian, Elias Gabriel; The Cylinder of a Relation and Generalized Versions of the Nerve Theorem; Springer; Discrete And Computational Geometry; 63; 3; 4-2020; 549-559
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