Note on Continuously Dierentiable Isotopies

Simon Blatt · 2009

This note introduces and discusses the notion of C 1 - isotopies. Two important properties will be proven. We will show that any C 1 -isotopy of a compact manifold N can be extended to an ambient C 1 -isotopy. Furthermore, we will see that the knot classes are open subsets of the set of continuous dierentiable function equipped with the strong Whitney topology.

Read the paper · More papers on PaperTik