Let K be a non-standard fractal Koch curve with contraction factor α. Assume α is of the form α = 2+1/m for some m ∈ N and that K is embedded in a larger domain Ω. Further suppose that u is any Hölder continuous function on K. Then for each such m ∈ N and iteration n ≥ 0, we construct a bounded linear operator Πn which extends u from the prefractal Koch curve Kn into the whole of Ω. Unfortunately, our sequence of extension functions Πnu are not bounded in norm in the limit because the upper bound is a strictly increasing function of n; this prevents us from demonstrating uniform convergence in the limit.

This paper investigates the prolongevitist debate; that is, the debate surrounding whether to extend human lifespans through medical technology (prolongevitism) or not (apologism). Apologists such as Daniel Callahan emphasize an approach to this debate which focuses on social self-criticism and ideology. I investigate the way the ideology of medicine Callahan describes enables modern medicine to dominate the body and discover that this ideology relies on a dualist conceptual structure. I describe the way in which mind/body dualism functions as an important component of this ideology of domination. By identifying this dualist structure as an essential component of the ideology of medicine, I make it possible to critique and find alternatives to potential solutions to this ideology of medicine. Through this strategy, I criticize standard apologist responses to the prolongevitist debate. While I share the apologist concern regarding the ideology of medicine, I believe their response to the problem of ideology is inadequate. I find alternative answers to the question of how to overcome the ideology of the body through theories of discourse and phenomenology. My new approach emphasizes cultivating a positive embodiment relationship through phenomenological practices and the criticism and creation of new discourses of the body. / Dissertation / Master of Arts (MA)

Brand equity has been highlighted as one of the most valuable assets one company possesses. However, negative information related with brand extension, such as brand extension failures, can lead to negative perceptions, which may be difficult to reverse. Therefore, it is of critical interest to managers and academicians to have better understanding of the effect of brand extension on the parent brand, especially its negative effect. In this research, the focus is to investigate the feedback effect of negative information of brand extension on the parent brand. This dissertation focuses on how negative information of brand extension impacts the parent brand. It attempts to clarify the previously mixed findings on reciprocal effects of brand extension. More importantly, it endeavors to fill the research gap of examining the issue of how negative information of brand extension affects the parent brand and to improve the understanding of the process by which negative information of brand extensions causes parent brand dilution, i.e. decreases the consumers¡¯ favorable attitudes towards the parent brand.Therefore, the focus of this dissertation was to investigate the effects of brand extension¡¯s negative information on consumers¡¯ attitudinal evaluation of parent brand, over different levels of brand extension fit, information negativity, and association set size with parent brand. In general, the significant impact of negative information on parent brand evaluation has been enlightened by this research.

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