Pure Mathematics Theses: Recent submissions
Now showing items 1-5 of 72
-
Assouad-type dimensions and the local geometry of fractal sets
(2024-12-03) - ThesisWe study the fine local scaling properties of rough or irregular subsets of a metric space. In particular, we consider the classical Assouad dimension as well as two variants: a scale-refined variant called the Assouad ... -
Separability properties of semigroups and algebras
(University of St Andrews, 2021-11-30) - ThesisSeparability properties can be seen as generalisations of residual finiteness. In this thesis we investigate four such properties: monogenic subalgebra separability, weak subalgebra separability, strong subalgebra ... -
Groups defined by language theoretic classes
(2024-06-11) - ThesisIn this thesis we shall study classes of groups defined by formal languages. Our first main topic is the class of groups defined by having an ET0L co-word problem; i.e., the class of co-ET0L groups. We show this class is ... -
Rearrangement groups of connected spaces
(University of St Andrews, 2020-07-28) - ThesisWe develop a combinatorial framework that assists in finding natural infinite “geometric” presentations for a large subclass of rearrangement groups of fractals – defined by Belk and Forrest, namely rearrangement groups ... -
Modern computational methods for finitely presented monoids
(2024-06-11) - ThesisIn this thesis we are mainly interested in the development of practical algorithms for semigroups and monoids defined by finite presentations. Although in general nearly every problem about finitely presented semigroups ...