{"title":"不稳定弱可约heegard分裂","authors":"K. Du","doi":"10.18910/71141","DOIUrl":null,"url":null,"abstract":"In this paper, we give a su ffi cient condition for a (weakly reducible) Heegaard splitting to be unstabilized and uncritical. We also give a su ffi cient condition for a Heegaard splitting to be critical.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":"56 1","pages":"165-172"},"PeriodicalIF":0.5000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Unstabilized weakly reducible Heegaard splittings\",\"authors\":\"K. Du\",\"doi\":\"10.18910/71141\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we give a su ffi cient condition for a (weakly reducible) Heegaard splitting to be unstabilized and uncritical. We also give a su ffi cient condition for a Heegaard splitting to be critical.\",\"PeriodicalId\":54660,\"journal\":{\"name\":\"Osaka Journal of Mathematics\",\"volume\":\"56 1\",\"pages\":\"165-172\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Osaka Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.18910/71141\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Osaka Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18910/71141","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, we give a su ffi cient condition for a (weakly reducible) Heegaard splitting to be unstabilized and uncritical. We also give a su ffi cient condition for a Heegaard splitting to be critical.
期刊介绍:
Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.