Related papers: Surface distance on knots
This paper has been withdrawn by the authors, due to the discovery of paper 0201028 which predates it and contains most of it's results.
We provide sharp lower bounds for two versions of the Kirby-Thompson invariants for knotted surfaces, one of which was originally defined by Blair, Campisi, Taylor, and Tomova. The second version introduced in this paper measures distances…
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors, an improved version with the title "Exact Fermi coordinates for a class of spacetimes", arXiv:0912.2779, replaces it.
We unify the notions of thin position for knots and for 3-manifolds and survey recent work concerning these notions.
The paper has been withdrawn.
This paper has been withdrawn by the author due to a crucial error in the force equation.
This paper is being withdrawn by the author due a serious flaw.
This paper has been withdrawn by the author.
This paper is withdrawn. See quant-ph/9806031 for a discussion.
We show several relations between local moves on 1-dimensional knots and those on high dimensional knots related by products of knots.
This paper has been withdrawn by the authors until some changes are made.
This paper has been withdrawn by the author due to a new work in [arXiv:0901.0456v4] which can contain the results in this paper.
The paper was withdrawn by the author. Further research is needed.
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors since it was discovered that most of its content was already known.
The paper has been withdrawn by the author as the main technical result (Th. 4.6) is false, as well as Corol. 4.3 on which it is based. The question of oscillation stability of the Urysohn space remains therefore open.
This paper has been withdrawn by the author ali pourmohammad.
This paper has been withdrawn by the authors because it has been merged with paper arXiv:0903.3501v1 [math.DG]