Geometry and topography in James Joyce's Ulysses and Finnegans Wake

Following the development of non-Euclidean geometries from the mid-nineteenth century onwards, Euclid’s system had come to be re-conceived as a language for describing reality rather than a set of transcendental laws. As Henri Poincaré famously put it, ‘[i]f several geometries are possible, is it certain that our geometry [...] is true?’. By examining Joyce’s linguistic play and conceptual engagement with ground-breaking geometric constructs in Ulysses and Finnegans Wake, this thesis explores how his topographical writing of place encapsulates a common crisis between geometric and linguistic modes of representation within the context of modernity. More specifically, it investigates how Joyce presents Euclidean geometry and its topographical applications as languages, rather than ideally objective systems, for describing visual reality; and how, conversely, he employs language figuratively to emulate the systems by which the world is commonly visualised. With reference to his early readings of Giordano Bruno, Henri Poincaré and other critics of the Euclidean tradition, it investigates how Joyce’s obsession with measuring and mapping space throughout his works enters into his more developed reflections on the codification of visual signs in Finnegans Wake. In particular, this thesis sheds new light on Joyce’s developing fascination with the ‘geometry of language’ practised by Bruno, whose massive influence on Joyce is often assumed to exist in Joyce studies yet is rarely explored in any great detail.

Biomimetic topography in orthopaedic ceramic

The primary objective of this research was to perform an in vitro assessment of the ability of microscale topography to alter cell behaviour, with specific regard to producing favourable topography in an orthopaedic ceramic material suitable for implantation in the treatment of arthritis. Topography at microscale and nanoscale alters the bioactivity of the material. This has been used in orthopaedics for some time as seen with optimal pore size in uncemented hip and knee implants. This level of topography involves scale in hundreds of micrometres and allows for the ingrowth of tissue. Topography at smaller scale is possible thanks to progressive miniaturisation of technology. A topographic feature was created in a readily available clinically licensed polymer, Polycaprolcatone (PCL). The effect of this topography was assessed in vitro. The same topography was transferred to the latest generation composite orthopaedic ceramic, zirconia toughened alumina (ZTA). The fidelity of reproduction of the topography was examined using scanning electron microscopy (SEM) and atomic force microscopy (AFM). These investigations showed more accurate reproduction of the topography in PCL than ZTA with some material artefacts in the ZTA. Cell culture in vitro was performed on the patterned substrates. The response of osteoprogenitor cells was assessed using immunohistochemistry, real-time polymerase chain reaction and alizarin staining. These results showed a small effect on cell behaviour. Finally metabolic comparison was made of the effects created by the two different materials and the topography in each. The results have shown a reproducible topography in orthopaedic ceramics. This topography has demonstrated a positive osteogenic effect in both polycaprolactone and zirconia toughened alumina across multiple assessment modalities.