In their article  [Partitions of $\mathbb{R}^3$ into curves, Mathematica Scandinavica 1998](http://www.mscand.dk/article/view/13850/11850), the authors M. Jonsson and J. Wästlund show that space can be partitioned in unlinked unit circles or other kinds of curves. 

> **Abstract.** A general technique for obtaining partitions of $\mathbb{R}^3$ into curves satisfying various properties is 
presented. The method can be used to partition $\mathbb{R}^3$ into unlinked circles of radius one, which
answers a question posed by Wilker [7], or into arbitrary collections of real analytic curves. We
also apply the method to study the set of bijections of the open unit disk.