{"title":"关于分枝覆盖物","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":"15 1","pages":"37-46"},"PeriodicalIF":0.3000,"publicationDate":"2009-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":\"15 1\",\"pages\":\"37-46\"},\"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}","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}
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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