The number of small covers over cubes

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dc.contributor.authorChoi, Suyoungko
dc.date.accessioned2017-12-05T02:09:42Z-
dc.date.available2017-12-05T02:09:42Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2008-
dc.identifier.citationALGEBRAIC AND GEOMETRIC TOPOLOGY, v.8, no.4, pp.2391 - 2399-
dc.identifier.issn1472-2739-
dc.identifier.urihttp://hdl.handle.net/10203/227524-
dc.description.abstractIn the present paper we find a bijection between the set of small covers over an n-cube and the set of acyclic digraphs with n labeled nodes. Using this, we give formulas of the number of small covers over an n-cube (generally, a product of simplices) up to Davis-Januszkiewicz equivalence classes and Z(2)(n)-equivariant homeomorphism classes. Moreover we prove that the number of acyclic digraphs with n unlabeled nodes is an upper bound of the number of small covers over an n-cube up to homeomorphism.-
dc.languageEnglish-
dc.publisherGEOMETRY TOPOLOGY PUBLICATIONS-
dc.titleThe number of small covers over cubes-
dc.typeArticle-
dc.identifier.wosid000272699700019-
dc.identifier.scopusid2-s2.0-72949112493-
dc.type.rimsART-
dc.citation.volume8-
dc.citation.issue4-
dc.citation.beginningpage2391-
dc.citation.endingpage2399-
dc.citation.publicationnameALGEBRAIC AND GEOMETRIC TOPOLOGY-
dc.identifier.doi10.2140/agt.2008.8.2391-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
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