The cylinder of a relation and generalized versions of the Nerve Theorem

Autor:	Fernández, Ximena, Minian, Elias Gabriel
Rok vydání:	2018
Předmět:	Mathematics - Algebraic Topology Mathematics - Combinatorics 55U10 55P10 06A07 18B35 57Q10
Druh dokumentu:	Working Paper
Popis:	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. Comment: 9 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1801.07235 Zobrazit plný text záznamu View this record from Arxiv