Orientals

dc.creatorSteiner, Richard
dc.date2006-01-16
dc.date2007-07-02
dc.date.accessioned2026-07-07T08:13:13Z
dc.date.available2026-07-07T08:13:13Z
dc.descriptionThe orientals or oriented simplexes are a family of strict omega-categories constructed by Ross Street. We show that the category of orientals is isomorphic to a subcategory of the category of chain complexes. This leads to a very simple combinatorial description of the morphisms between orientals. We also show that the category of orientals is the closure of the category of simplexes under certain filler operations which represent complicial operations.
dc.description13 pages; version 2 has misprints corrected
dc.identifierhttps://arxiv.org/abs/math/0601383
dc.identifierhttp://arxiv.org/abs/math/0601383
dc.identifierContemporary Mathematics 431 (2007) 427-439
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132724
dc.subjectCategory Theory
dc.subject18D05
dc.titleOrientals
dc.typetext

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