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Abstract:

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. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Registro:

Documento: Artículo
Título:The Cylinder of a Relation and Generalized Versions of the Nerve Theorem
Autor:Fernández, X.; Minian, E.G.
Filiación:Departamento de Matemática - IMAS, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Finite topological spaces; Nerve; Posets; Quillen’s Theorem A; Relations
Año:2018
DOI: http://dx.doi.org/10.1007/s00454-018-0028-7
Título revista:Discrete and Computational Geometry
Título revista abreviado:Discrete Comput. Geom.
ISSN:01795376
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01795376_v_n_p_Fernandez

Referencias:

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Citas:

---------- APA ----------
Fernández, X. & Minian, E.G. (2018) . The Cylinder of a Relation and Generalized Versions of the Nerve Theorem. Discrete and Computational Geometry.
http://dx.doi.org/10.1007/s00454-018-0028-7
---------- CHICAGO ----------
Fernández, X., Minian, E.G. "The Cylinder of a Relation and Generalized Versions of the Nerve Theorem" . Discrete and Computational Geometry (2018).
http://dx.doi.org/10.1007/s00454-018-0028-7
---------- MLA ----------
Fernández, X., Minian, E.G. "The Cylinder of a Relation and Generalized Versions of the Nerve Theorem" . Discrete and Computational Geometry, 2018.
http://dx.doi.org/10.1007/s00454-018-0028-7
---------- VANCOUVER ----------
Fernández, X., Minian, E.G. The Cylinder of a Relation and Generalized Versions of the Nerve Theorem. Discrete Comput. Geom. 2018.
http://dx.doi.org/10.1007/s00454-018-0028-7