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The separating disk complex for a handlebody
- Authors
- Cho, Sangbum; Lee, Jung Hoon
- Issue Date
- Mar-2025
- Publisher
- Elsevier BV
- Keywords
- Handlebody; Curve complex; Primitive curve; Dual disk
- Citation
- Topology and its Applications, v.363, pp 1 - 8
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- Topology and its Applications
- Volume
- 363
- Start Page
- 1
- End Page
- 8
- ISSN
- 0166-8641
1879-3207
- Abstract
- We prove that the separating disk complex for a handlebody is connected. We present two proofs, one is based on the properties of primitive curves while the other one uses the action of the handlebody group on the complex. We also show that the separating reducing sphere complex for a double handlebody is connected.
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Collections - 서울 사범대학 > 서울 수학교육과 > 1. Journal Articles
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Related Researcher
- Cho, Sang bum
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)