Pure Mathematics Theses: Recent submissions
Now showing items 36-40 of 76
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Counting subwords and other results related to the generalised star-height problem for regular languages
(University of St Andrews, 2017-12-07) - ThesisThe Generalised Star-Height Problem is an open question in the field of formal language theory that concerns a measure of complexity on the class of regular languages; specifically, it asks whether or not there exists an ... -
Fractal, group theoretic, and relational structures on Cantor space
(University of St Andrews, 2016) - ThesisCantor space, the set of infinite words over a finite alphabet, is a type of metric space with a `self-similar' structure. This thesis explores three areas concerning Cantor space with regard to fractal geometry, group ... -
Constructing 2-generated subgroups of the group of homeomorphisms of Cantor space
(University of St Andrews, 2017) - ThesisWe study finite generation, 2-generation and simplicity of subgroups of H[sub]c, the group of homeomorphisms of Cantor space. In Chapter 1 and Chapter 2 we run through foundational concepts and notation. In Chapter 3 we ... -
Generalized Bernstein polynomials and total positivity
(University of St Andrews, 1999) - Thesis"This thesis submitted for Ph.D. degree deals mainly with geometric properties of generalized Bernstein polynomials which replace the single Bernstein polynomial by a one-parameter family of polynomials. It also provides ... -
Flatness, extension and amalgamation in monoids, semigroups and rings
(University of St Andrews, 1986) - ThesisWe begin our study of amalgamations by examining some ideas which are well-known for the category of R-modules. In particular we look at such notions as direct limits, pushouts, pullbacks, tensor products and flatness in ...