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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Alexander's and Markov's theorems in dimension four


Author: Seiichi Kamada
Journal: Bull. Amer. Math. Soc. 31 (1994), 64-67
MSC: Primary 57Q45; Secondary 57M25
MathSciNet review: 1254074
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Abstract: Alexander's and Markov's theorems state that any link type in $ {R^3}$ is represented by a closed braid and that such representations are related by some elementary operations called Markov moves. We generalize the notion of a braid to that in 4-dimensional space and establish an analogue of these theorems.


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DOI: http://dx.doi.org/10.1090/S0273-0979-1994-00505-1
PII: S 0273-0979(1994)00505-1
Article copyright: © Copyright 1994 American Mathematical Society