Splitting words and Lorenz braids
β Scribed by C. Tresser; R.F. Williams
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 546 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0167-2789
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π SIMILAR VOLUMES
A new presentation of the n-string braid group B n is studied. Using it, a new solution to the word problem in B n is obtained which retains most of the desirable features of the Garside Thurston solution, and at the same time makes possible certain computational improvements. We also give a related
We prove that the word problem in the mapping class group of the once-punctured surface of genus g has complexity O(|w| 2 g) for |w| log(g) where |w| is the length of the word in a (standard) set of generators. The corresponding bound in the case of the closed surface is O(|w| 2 g 2 ). We also carry
## Abstract In this article we investigate the dualβshattering cardinal β, the dualβsplitting cardinal π and the dualβreaping cardinal π, which are dualizations of the wellβknown cardinals π₯ (the shattering cardinal, also known as the distributivity number of __P__(Ο)/fin), __s__ (the splitting num