Articles written in Proceedings – Mathematical Sciences
Volume 104 Issue 3 August 1994 pp 543-548
We have proved that every knot-type ℝ↪ℝ3 can be uniquely represented by polynomials up to polynomial isotopy i.e. if two polynomial embeddings of ℝ in ℝ3 represent the same knot-type, then we can join them by polynomial embeddings.
Volume 106 Issue 1 February 1996 pp 65-68
In this paper we have shown that one can obtain a curve, with prescribed maximaminima, as a graph of a polynomial function. The proof involves elementary topology.