Characterization of compact subsets of curves with ω-continuous derivatives

@inproceedings{Pilipczuk2010CharacterizationOC,
  title={Characterization of compact subsets of curves with ω-continuous derivatives},
  author={Marcin Pilipczuk},
  year={2010}
}
In this paper we focus on characterizing compact subsets of curves in R with regular derivatives. Namely, we give characterization of compact subsets of finite sums of disjoint finite-length curves with ω-continuous derivative and without selfintersections. Intuitively, our condition can be formulated as there exists a finite set of regular curves covering a compact set K iff every triple of points of K behaves like a triple of points of a regular curve. This work was inspired by theorems by… CONTINUE READING