Doctoral thesis · Universitat de Girona
Collinear Fractals
and Connectedness Loci
Topology, Finite Capture, and Restricted Polynomial Roots
Bernat Espigulé Pons · 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.
Edition information
This circulation edition is based on the thesis deposited at the Universitat de Girona on 9 September 2026 and incorporates editorial and layout corrections. The edition date identifies the text being cited.
Cite the thesis
Citations refer to the corrected circulation edition dated 15 September 2026 and identify its degree status.