\begin{definition}[Definition:Knot (Knot Theory)/Elementary Knot]
Circle knots can often be quite wild and unwieldy - most of modern knot theory concerns itself with a specific kind of knot.
These knots are described as a finite set of points in $\R^3$ called $\left\{{ x_1, x_2, \dots, x_n }\right\}$, together with line segments from $x_i$ to $x_{i+1}$ and a line segment from $x_n$ to $x_1$.
The union of all these line segments is clearly a circle knot, or an '''unknot''', an embedding of the circle which is homotopic to a circle.
{{explain|Rewrite in a rigorous dictionary style so as to make it understandable independently of the parent page.}}
Category:Definitions/Knot Theory
\end{definition}