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Rectangle condition for bridge decompositions of links
- Authors
- Kwon, Bo-Hyun
- Issue Date
- 12월-2019
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Rectangle condition; n-bridge decomposition of knots; Hempel distance; 3-bridge knots
- Citation
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.28, no.14
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
- Volume
- 28
- Number
- 14
- ISSN
- 0218-2165
- Abstract
- In this paper, we define the rectangle condition for bridge decompositions of links in S-3 whose definition is analogous to the definition of the rectangle condition for Heegaard splittings of 3-manifolds. We show that the satisfaction of the rectangle condition for an n-bridge decomposition can guarantee that the Hempel distance of the n-bridge decomposition is greater than or equal to two.
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