Description: Suppose L is a complete separable metric topological group (ring, field, etc.). L is topologically unique if the Polish topology on L is uniquely determined by its underlying algebraic structure. More specifically, L is topologically unique if an algebraic isomorphism of L with any other complete separable metric topological group (ring, field, etc.) induces a topological isomorphism. A local field is a locally compact topological field with non-discrete topology. The only local fields (up to isomorphism) are the real, complex, and p-adic numbers, finite extensions of the p-adic numbers, and fields of formal power series over finite fields. We establish the topological uniqueness of the special linear Lie algebras over local fields other than the complex numbers (for which this result is not true) in the context of complete separable metric Lie rings. Along the way the topological uniqueness of all local fields other than the field of complex numbers is established, which is derived as a corollary to more general principles which can be applied to a larger class of topological fields. Lastly, also in the context of complete separable metric Lie rings, the topological uniqueness of the special linear Lie algebra over the real division algebra of quaternions, ...

Description: Within the discipline of sociology human olfaction is rich with social significance yet remains a poorly charted frontier. Therefore, the following discourse is aimed toward the development of a foundation for the sociological study of olfaction. It is formed by the dual goals of unearthing the social history of olfaction and of providing a viable sociological account of the manner in which smells affect human ontology. From these goals arise the following research questions: (1) Have the meaning and social relevance of odors and the olfactory sensorium changed throughout different periods of history?; (2) How have those in the lineage of eminent sociological thinkers addressed the phenomenon of human olfaction during these periods?; and (3) What is the process by which aromatic stimuli are transformed from simple chemical compounds, drifting in the atmosphere, into sensations in a sensory field and then on to perceived objects, to subjects of judgment and interpretation, and finally to bases of knowledge which form and continually reform individuals in the world? The weaving of the sociohistorical tapestry of smell is undertaken to provide examples from thousands of years lived experiences as to the fluid and sociologically complex nature of individuals' olfactory senses. This historical information ...

Description: The advent of sensory and communication technologies enables the generation and consumption of large volumes of streaming data. Many of these data streams are geo-referenced. Existing spatio-temporal databases and data stream management systems are not capable of handling real time queries on spatial extents. In this thesis, we investigated several fundamental research issues toward building a data-type-based real time geospatial data stream management system. The thesis makes contributions in the following areas: geo-stream data models, aggregation, window-based nearest neighbor operators, and query optimization strategies. The proposed geo-stream data model is based on second-order logic and multi-typed algebra. Both abstract and discrete data models are proposed and exemplified. I further propose two useful geo-stream operators, namely Region By and WNN, which abstract common aggregation and nearest neighbor queries as generalized data model constructs. Finally, I propose three query optimization algorithms based on spatial, temporal, and spatio-temporal constraints of geo-streams. I show the effectiveness of the data model through many query examples. The effectiveness and the efficiency of the algorithms are validated through extensive experiments on both synthetic and real data sets. This work established the fundamental building blocks toward a full-fledged geo-stream database management system and has potential impact in many ...

Description: In the domain of music education philosophy there are, at present, two foundational systems that purport to be self-contained philosophies of music education. These are music education as aesthetic education, often referred to as MEAE, espoused by Bennett Reimer, and the praxial philosophy of music education posited by David Elliott. The debate between these two philosophies has been contentious and has had the effect of fracturing the philosophical underpinning of the music profession in an irreconcilable way. It is the purpose of this dissertation to introduce a third voice, that of the Danish philosopher Knut Løgstrup, to serve as a synergy between the philosophies of Reimer and Elliott and lead toward a framework of thinking for music education philosophy. I assert that the philosophies of Reimer and Elliott represent a modern articulation of an ancient dialectic between Platonic and Aristotelian ideals. Thus, the Reimer philosophy has its foundation in Platonic thought and Elliott has embraced an Aristotelian philosophical perspective. Løgstrup's position provides a third fundamental viewpoint that includes both Platonic and Aristotelian thinking and can therefore provide a synergy for these two music education philosophies. He refers to his philosophy as an ontological ethics. As a methodological approach, I utilize ...

Description: This thesis sets out to develop a beginning of a philosophy of water by considering philosophical implications of ecological crises currently happening along the waters of the Ganges River. In my first chapter, I give a historical account of a philosophy of water. In my second chapter, I describe various natural and cultural representations of the Ganges, accounting for physical features of the river, Hindu myths and rituals involving the river, and ecological crises characterized by the pollution and damming of the river. In my third and final chapter, I look into the philosophical implications of these crises in terms of the works of the contemporary philosopher Bruno Latour.