Document Type
Article
Journal/Book Title/Conference
Applied General Topology
Volume
18
Issue
1
Publisher
Poli Paper
Publication Date
4-1-2017
First Page
1
Last Page
11
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Abstract
In this paper we present the construction of a group Hopf algebra on the class of rational tangles. A locally finite partial order on this class is introduced and a topology is generated. An interval coalgebra structure associated with the locally finite partial order is specified. Irrational and real tangles are introduced and their relation with rational tangles are studied. The existence of the maximal real tangle is described in detail.
Recommended Citation
"Algebraicand Topological Structures on Rational Tangles",Vida Milani, Seyed M.H. Mansourbeigi and Hossein Finizadeh , Applied General Topology, vol.18, no.1, (2017).