On Weak Separation Property for Affine Fractal Functions
We show that a fractal affine function $f(x)$ defined by a system $\mathcal S$ which does not satisfy weak separation property is a quadratic function.
math.MG↗
arXiv subjects
Publications and source records attributed to A. V. Tetenov.
We show that a fractal affine function $f(x)$ defined by a system $\mathcal S$ which does not satisfy weak separation property is a quadratic function.
The article contains a construction of a self-similar dendryte which cannot be the attractor of any self-similar zipper.