Alexander's and Markov's theorems in dimension four
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 4dimensional space and establish an analogue of these theorems.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 1994
 arXiv:
 arXiv:math/9407217
 Bibcode:
 1994math......7217K
 Keywords:

 Mathematics  Geometric Topology
 EPrint:
 4 pages