Scribbling continua in \(\mathbb{R}^ n\) and constructing singularities with prescribed Nash fibre and tangent cone (Q1896630)

Using approximations in the Hausdorff metric, the authors prove that any continuum (non-empty connected set) in \(\mathbb{R}^n\) is the set of limits at infinity of a real-analytic curve. This result is then used to prove a similar result for the tangent cone of Whitney stratified sets.