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Algebraic and topological structures on rational tangles
- Source :
- Applied General Topology, Vol 18, Iss 1, Pp 1-11 (2017), Computer Science Student Research, RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia, instname
- Publication Year :
- 2017
- Publisher :
- Universitat Politècnica de València, 2017.
-
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.
- Subjects :
- tangle convergent
Coalgebra
Structure (category theory)
Bi-pseudo-module
010103 numerical & computational mathematics
Interval (mathematics)
lcsh:Analysis
Group Hopf algebra
Continued fraction
Topology
01 natural sciences
Tangle
Interval coalgebra
Incidence algebra
Mathematics::Quantum Algebra
Physical Sciences and Mathematics
Order (group theory)
0101 mathematics
Algebraic number
Mathematics
group Hopf algebra
Computer Sciences
lcsh:Mathematics
lcsh:QA299.6-433
Tangle convergen
bi-pseudo-module
lcsh:QA1-939
Mathematics::Geometric Topology
continued fraction
010101 applied mathematics
Algebra
incidence algebra
pseudo-tensor product
Pseudo-tensor product
Pseudo-module
pseudo-module
Geometry and Topology
tangle
Locally finite partial order
locally finite partial order
interval coalgebra
Subjects
Details
- Language :
- English
- ISSN :
- 19894147 and 15769402
- Volume :
- 18
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Applied General Topology
- Accession number :
- edsair.doi.dedup.....bdc98b946a3158dcfbcbf69db0bb84f6