Open Access
Subscription Access
Homology Group on the Dynamical Trefoil Knot
In this article, we introduce the homology group of the dynamical trefoil knot. Also the homology group of the limit dynamical trefoil knot will be achieved. The knot group of the limit dynamical sheeted trefoil knot is presented. The dynamical trefoil knots of variation curvature and torsion of manifolds on their homology groups are deduced. Theorems governing these relations are obtained.
Keywords
Dynamical Trefoil Knot, Homolog Group, Knots
User
Information
- Abu-Saleem M (2008). Folding on the chaotic Cartesian product of manifolds and their fundamental group, Tamkang Journal of Mathematics, vol 39, No.4, 353-361.
- Abu-Saleem M (2010). Folding on the wedge sum of graphs and their fundamental group, Applied Sciences, vol 12, 14-19.
- Abu-Saleem M (2010). Homology group on manifolds and their foldings, Tamkang Journal of Mathematics, vol 41, No. 1, 31-38.
- Abu-Saleem M (2010). Dynamical manifolds and their fundamental group, Advanced Studies in Contemporary Mathematics, vol 20, No.1, 125-131.
- Abu-Saleem M (2010). Conditional fractional folding of a manifold and their fundamental group, Advanced Studies in Contemporary Mathematics, vol 20, No. 2, 271-277.
- Abu-Saleem M (2011). Dynamical chaotic homotopy group and its applications, International Journal of Nonlinear Science, vol 11, No. 2, 206-212.
- Abu-Saleem M (2011). On dynamical chaotic de sitter spaces and their deformation retracts, Proceedings of the Jangjeon Mathematical society, vol 14 , 231-238.
- Abu-Saleem M (2012). On the dynamical hyperbolic 3-spaces and their deformation retracts. Proceedings of the Jangjeon Mathematical society 15, No. 2, 189-193.
- Birkhoof G D (2000). Dynamical systems, Bulletin of the American Mathematics Society, vol 37, No.1, 88-121.
- Burde G, and Zieschang H (2003). Knots,Walter de Gruyter GmbH & Co. KG.
- Damiond G, Peltier S (2008). Computing homology generators for volumes using minimal generralized maps, Proceeding of 12 th IWCIA, volume 4959 of LNCS, USA, 63-74.
- Giblin P J (1977). Graphs surfaces and homology:An introduction to Algebraic topology, Canada, Jon Wiley & Sons, New York.
- Hatcher A (2002). Algebraic topology, Cambridge University Press.
- Massey W S (1967). Algebraic topology: An introduction, Harcourt Brace and world, New York.
- Saveliev N (2002). Invariants for homology 3-spheres, Springer -Verlage, New York.
- Sibirsky K S (1975). Introduction to topological dynamics, Noordhoff International Pub., Leyden, The Netherlands.
Abstract Views: 439
PDF Views: 0