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THE Ck-GORDIAN COMPLEX OF KNOTS.
- Source :
-
Journal of Knot Theory & Its Ramifications . Jan2006, Vol. 15 Issue 1, p73-80. 8p. 7 Diagrams. - Publication Year :
- 2006
-
Abstract
- Hirasawa and Uchida defined the Gordian complex of knots which is a simplicial complex whose vertices consist of all knot types in S3 by using "a crossing change". In this paper, we define the Ck-Gordian complex of knots which is an extension of the Gordian complex of knots. Let k be a natural number more than 2 and we show that for any knot K0 and any given natural number n, there exists a family of knots {K0, K1,..., Kn} such that for any pair (Ki, Kj) of distinct elements of the family, the Ck-distance dCk(Ki, Kj) = 1. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02182165
- Volume :
- 15
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Knot Theory & Its Ramifications
- Publication Type :
- Academic Journal
- Accession number :
- 19632355
- Full Text :
- https://doi.org/10.1142/S0218216506004300