Add to ORKGKirby and Lickorish have introduced the idea of prime tangle (5) where the term ‘tangle' is borrowed from Conway (3). While exploring this notion, Lickorish has shown in ((6), theorem 3): A tangle, which is the Conway sum of two tangles, one of which is prime and connected to both arcs of the other one which itself is prime or untangle, is prim
With an alternative proof of the crucial Lemma 7.1, 36 pages.The binary Goldbach conjecture asserts ...
This paper gives an elementary and self-contained proof of Conway’s Basic Theorem on rational tangle...
43 pages. Most of the manuscript has been professionally proofread.The binary Goldbach conjecture as...
We shall prove that a knot which can be represented by a positive braid with a half twist is prime. ...
ABSTRACT. We show that an arbitrary tangle T can be extended to produce diagrams of two distinct kno...
AbstractWe consider primeness, hyperbolicity, ∂-irreducibility and tangle sums of alternating tangle...
We show that an arbitrary tangle T can be extended to produce diagrams of two distinct knots that ca...
AbstractThis paper gives an elementary and self-contained proof of Conway's Basic Theorem on rationa...
AbstractIn this paper we give two new combinatorial proofs of the classification of rational tangles...
The usual notion of primeness for virtual links does not correspond to the notion of primeness typic...
AbstractNorwood showed that two-generator knots are prime and provided an example of a composite two...
AbstractThe famous H. Schubert theorem (1949) states that any nontrivial knot in S3 admits a decompo...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
AbstractWe consider when two proper arcs t1 and t2 in a ball or handlebody V are parallel. A necessa...
AbstractWe give a criterion to decide when an n-string tangle in a handlebody consists of n parallel...
With an alternative proof of the crucial Lemma 7.1, 36 pages.The binary Goldbach conjecture asserts ...
This paper gives an elementary and self-contained proof of Conway’s Basic Theorem on rational tangle...
43 pages. Most of the manuscript has been professionally proofread.The binary Goldbach conjecture as...
We shall prove that a knot which can be represented by a positive braid with a half twist is prime. ...
ABSTRACT. We show that an arbitrary tangle T can be extended to produce diagrams of two distinct kno...
AbstractWe consider primeness, hyperbolicity, ∂-irreducibility and tangle sums of alternating tangle...
We show that an arbitrary tangle T can be extended to produce diagrams of two distinct knots that ca...
AbstractThis paper gives an elementary and self-contained proof of Conway's Basic Theorem on rationa...
AbstractIn this paper we give two new combinatorial proofs of the classification of rational tangles...
The usual notion of primeness for virtual links does not correspond to the notion of primeness typic...
AbstractNorwood showed that two-generator knots are prime and provided an example of a composite two...
AbstractThe famous H. Schubert theorem (1949) states that any nontrivial knot in S3 admits a decompo...
International audienceWe prove that a prime knot K is not determined by its p-fold cyclic branched c...
AbstractWe consider when two proper arcs t1 and t2 in a ball or handlebody V are parallel. A necessa...
AbstractWe give a criterion to decide when an n-string tangle in a handlebody consists of n parallel...
With an alternative proof of the crucial Lemma 7.1, 36 pages.The binary Goldbach conjecture asserts ...
This paper gives an elementary and self-contained proof of Conway’s Basic Theorem on rational tangle...
43 pages. Most of the manuscript has been professionally proofread.The binary Goldbach conjecture as...