Mathematics, School of
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Construction of Seifert surfaces by differential geometry
(The University of Edinburgh, 20160629)A Seifert surface for a knot in ℝ³ is a compact orientable surface whose boundary is the knot. Seifert surfaces are not unique. In 1934 Herbert Seifert provided a construction of such a surface known as the Seifert Algorithm, ... 
Homogeneity in supergravity
(The University of Edinburgh, 20160629)This thesis is divided into three main parts. In the first of these (comprising chapters 1 and 2) we present the physical context of the research and cover the basic geometric background we will need to use throughout ... 
Codensity, compactness and ultrafilters
(The University of Edinburgh, 20160629)Codensity monads are ubiquitous, as are various different notions of compactness and finiteness. Two such examples of "compact" spaces are compact Hausdorff Spaces and Linearly Compact Vector Spaces. Compact Hausdorff ... 
Recursive computation
(The University of Edinburgh, 1968) 
Involutions of a Banach Algebra
(The University of Edinburgh, 1969) 
Logarithmetics, index polynomials and bifurcating roottrees
(The University of Edinburgh, 1959) 
Theory of fractional integration for generalised functions with applications
(The University of Edinburgh, 1971) 
Problems in high speed flow
(The University of Edinburgh, 1960) 
Construction and properties of Schur's invariant matrices
(The University of Edinburgh, 1957) 
On the existence of nontrivial invariant subspaces for certain classes of operators
(The University of Edinburgh, 1969) 
Algebras of compact operators
(The University of Edinburgh, 1967)The purpose of this thesis is to examine certain classes of hounded linear operators on a Banach space X in an algebraic light, i.e. as elements of a Banach algebra rather than as operators on X, the Banach algebra in ... 
Semialgebras and rings of continuous functions
(The University of Edinburgh, 1969) 
Singular perturbations
(The University of Edinburgh, 1970) 
Radicals and residuals in wreath products of groups
(The University of Edinburgh, 1975) 
On the reparameterization of models to obtain uncorrelated maximum likelihood estimators
(The University of Edinburgh, 1973)This thesis is concerned primarily with the development of criteria and methods for the reparameterization of models and distributions in order that independent parameter estimators be obtained. The criteria for independence ... 
Capacity of elements of Banach algebras
(The University of Edinburgh, 1972)As its name suggests, this thesis is an account of the recent theory of the capacity of elements of Banach algebras. The first chapter contains a summary of the background theory, other than fundamentals, used, and ... 
Variability in variety trials
(The University of Edinburgh, 1974)This thesis examines some statistical methods that my he helpful in the planning and analysis of series of variety trials. The following aspects of variability among variety yields and their use are considered: 1) Some ... 
Geometry of cubic surfaces, and grace's extension of the doublesix, over finite fields
(The University of Edinburgh, 1966) 
Continuity of functionals and compact action of operators
(The University of Edinburgh, 1970) 
Serial factorial designs
(The University of Edinburgh, 1972)The thesis is primarily concerned with changeover designs for t treatments, t^2 subjects and 2t periods such that each combination of treatments in any two consecutive periods occurs on exactly one subject and each ...