A note on coverings of posets, A-spaces and polyhedra

dc.creatorBarmak, Jonathan Ariel
dc.creatorMinian, Elias Gabriel
dc.date.accessioned2018-08-14T17:42:55Z
dc.date.accessioned2018-11-06T15:50:27Z
dc.date.available2018-08-14T17:42:55Z
dc.date.available2018-11-06T15:50:27Z
dc.date.created2018-08-14T17:42:55Z
dc.date.issued2016-01
dc.identifierBarmak, Jonathan Ariel; Minian, Elias Gabriel; A note on coverings of posets, A-spaces and polyhedra; International Press Boston; Homology, Homotopy And Applications (hha); 18; 1; 1-2016; 143-150
dc.identifier1532-0073
dc.identifierhttp://hdl.handle.net/11336/55418
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1901729
dc.description.abstractWe show that there exists a correspondence between the equivalence classes of coverings of a polyhedron and the equivalence classes of coverings of its poset of simplices. The same is true for a poset and its order complex. The coverings of a poset can be understood in two equivalent ways, as categorical coverings, when the poset is viewed as a category, or as topological coverings, when it is viewed as an A-space. This implies that the theory of coverings of polyhedra can be handled completely in the combinatorial setting.
dc.languageeng
dc.publisherInternational Press Boston
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://intlpress.com/site/pub/pages/journals/items/hha/content/vols/0018/0001/a008/index.html
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4310/HHA.2016.v18.n1.a8
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectA-SPACE
dc.subjectCOVERING MAP
dc.subjectPOSET
dc.subjectSIMPLICIAL COMPLEX
dc.titleA note on coverings of posets, A-spaces and polyhedra
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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