{"title":"On Branched Coverings","authors":"K. V. Madahar","doi":"10.1090/mmono/154/07","DOIUrl":null,"url":null,"abstract":"We construct, for almost all permissible degrees d, a minimal simplicial branched covering map of degree d from each closed, suitably triangulated, 2-manifold onto the 6-vertex Real Projective Plane. We also establish the non-existence of certain degree branched coverings of the real projective plane.","PeriodicalId":44573,"journal":{"name":"International Journal of Applied Mathematics & Statistics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2009-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Applied Mathematics & Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/mmono/154/07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We construct, for almost all permissible degrees d, a minimal simplicial branched covering map of degree d from each closed, suitably triangulated, 2-manifold onto the 6-vertex Real Projective Plane. We also establish the non-existence of certain degree branched coverings of the real projective plane.
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