2 papers
math.CT2022
Baumslag-Solitar graphs through colours
Katie Buchhorn
Higher-rank graphs are, as the name suggests, higher-dimensional analogues of directed graphs which we will define using category theory. The whole idea of my project was to constr…
math.HO2021
The Banach-Tarski Paradox
Katie Buchhorn
In 1924, S. Banach and A. Tarski proved an astonishing, yet rather counterintuitive paradox: given a solid ball in , it is possible to partition it into finitely many…