I would like to make use of the following condition on a set $S$ in a finite-dimensional affine space $A$ (for example, a topological curve in a plane):
- each point of $S$ has a neighborhood $U$ in $A$ such that in some affine coordinate system, the intersection of $S$ with $U$ is given by an equation of the form $$ x_n = f(x_1,\dotsc,x_{n-1}), $$ where $f$ is continuous.
Does there exist a term for such property, or at least for such curves in a plane? If not, is there some close property that has a name?
For curves, I might have called it something like tame topological curve.