Now showing items 1-5 of 5
(The University of Edinburgh, 2015-07-01)
This thesis is an investigation of the difference between metabolic and hyperbolic objects in a variety of settings and how they interact with cobordism and 'double cobordism', both in the setting of algebraic L-theory ...
Some applications of algebraic surgery theory: 4-manifolds, triangular matrix rings and braids
(The University of Edinburgh, 2015-11-26)
This thesis consists of three applications of Ranicki's algebraic theory of surgery to the topology of manifolds. The common theme is a decomposition of a global algebraic object into simple local pieces which models the ...
On the concordance orders of knots
(The University of Edinburgh, 2011-06-28)
This thesis develops some general calculational techniques for finding the orders of knots in the topological concordance group C . The techniques currently available in the literature are either too theoretical, applying ...
Homeomorphisms, homotopy equivalences and chain complexes
(The University of Edinburgh, 2012-06-25)
This thesis concerns the relationship between bounded and controlled topology and in particular how these can be used to recognise which homotopy equivalences of reasonable topological spaces are homotopic to ...
Structure and semantics
(The University of Edinburgh, 2017-11-30)
Algebraic theories describe mathematical structures that are defined in terms of operations and equations, and are extremely important throughout mathematics. Many generalisations of the classical notion of an algebraic ...