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6 papers · 1 filter
Almost positive links have negative signature
Jozef H. Przytycki, Kouki Taniyama
We analyze properties of links which have diagrams with a small number of negative crossings. We show that if a nontrivial link has a diagram with all crossings positive except pos…
Circle immersions that can be divided into two arc embeddings
Kouki Taniyama
We give a complete characterization of a circle immersion that can be divided into two arc embeddings in terms of its chord diagram.
Complementary Regions of Knot and Link Diagrams
Colin Adams, Reiko Shinjo, Kokoro Tanaka
An increasing sequence of integers is said to be universal for knots and links if every knot and link has a projection to the sphere such that the number of edges of each complemen…
A Graph-Theoretic Approach to a Partial Order of Knots and Links
Toshiki Endo, Tomoko Itoh, Kouki Taniyama
We say that a link is an s-major of a link if any diagram of can be transformed into a diagram of by changing some crossings and smoothing some crossings. T…
Unknotting numbers of diagrams of a given nontrivial knot are unbounded
Kouki Taniyama
We show that for any nontrivial knot and any natural number there is a diagram of such that the unknotting number of is greater than or equal to . It is well…
A construction of noncontractible simply connected cell-like two dimensional Peano continua
Katsuya Eda, Umed H. Karimov, Dušan Repovš
Using the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point an…