Doctoral thesis · Universitat de Girona
Collinear Fractals
and Connectedness Loci
Topology, Finite Capture, and Restricted Polynomial Roots
Bernat Espigulé Pons · 9 September 2026
About the thesis
The thesis studies collinear self-similar sets and the parameter spaces in which they are connected. It develops links between topology, finite capture, and roots of polynomials with restricted integer coefficients.
Geometric constructions and finite computational methods accompany the theoretical results. Related papers and browser explorers provide further ways to study the examples.
Cite the thesis
Doctoral thesis, Universitat de Girona, 9 September 2026. Defence pending.