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dc.contributor.author조상범-
dc.date.accessioned2021-09-27T00:54:24Z-
dc.date.available2021-09-27T00:54:24Z-
dc.date.issued2020-03-
dc.identifier.citationTOPOLOGY AND ITS APPLICATIONS, v. 272, article no. 107092en_US
dc.identifier.issn0166-8641-
dc.identifier.issn1879-3207-
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0166864120300365?via%3Dihub-
dc.identifier.urihttps://repository.hanyang.ac.kr/handle/20.500.11754/165132-
dc.description.abstractIt is known that the primitive disk complex for a genus-2 Heegaard splitting of the 3-sphere is closed under disk surgery operation. We show that, for a genus-g Heegaard splitting of the 3-sphere with g ˃= 3, the primitive disk complex for the splitting is not weakly closed under disk surgery operation. That is, there exist two primitive disks in one of the handlebodies of the splitting such that any disk surgery on one along the other one yields no primitive disks. (C) 2020 Elsevier B.V. All rights reserved.en_US
dc.description.sponsorshipThe first-named author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-201800000001768). The second-named author is supported in part by JSPS KAKENHI Grant Numbers JP15H03620, JP17K05254, JP17H06463, and JST CREST Grant Number JPMJCR17J4. The third-named author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2018R1D1A1A09081849).en_US
dc.language.isoenen_US
dc.publisherELSEVIERen_US
dc.subjectHeegaard splittingen_US
dc.subjectDisk complexen_US
dc.subjectPrimitive disken_US
dc.subjectDisk surgeryen_US
dc.titleDisk surgery and the primitive disk complexes of the 3-sphereen_US
dc.typeArticleen_US
dc.relation.volume272-
dc.identifier.doi10.1016/j.topol.2020.107092-
dc.relation.page1-6-
dc.relation.journalTOPOLOGY AND ITS APPLICATIONS-
dc.contributor.googleauthorCho, Sangbum-
dc.contributor.googleauthorKoda, Yuya-
dc.contributor.googleauthorLee, Jung Hoon-
dc.relation.code2020049210-
dc.sector.campusS-
dc.sector.daehakCOLLEGE OF EDUCATION[S]-
dc.sector.departmentDEPARTMENT OF MATHEMATICS EDUCATION-
dc.identifier.pidscho-
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COLLEGE OF EDUCATION[S](사범대학) > MATHEMATICS EDUCATION(수학교육과) > Articles
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