No abstract available Copyright / Dissertation (LLM)--University of Pretoria, 2012. / Mercantile Law / unrestricted

<p> Through examining various stage representations of women, this dissertation investigates both the limitations and possibilities that seventeenth-century conceptualizations of the soul-body relationship posed for female subject-positions. The gender-coded soul-body dichotomy lies at the root of many negative and disempowering depictions of women. And yet, this in many ways oppressive construct, I argue, could also function as an effective tool for radically redefining gender expectations. Women and the Soul-Body Dichotomy demonstrates how a critical awareness of a text's engagement with theories of the spirit-matter divide can suggest new readings of its representations of women - readings available to seventeenth-century audiences that we should not overlook. More specifically, I explore dramatic disruptions of the soul-body hierarchy, and the usual values attached to each "side," that significantly challenge the patriarchal subordination of women. While the recent emphasis on the body in early modern studies has proven immensely productive, this focus tends to eclipse seventeenth-century concepts of the soul and the soul-body dynamic. I insist here that not only developing ideas about the body, but ideas about soul and body together are what crucially shaped gender ideology and cultural perceptions of women.</p> / Thesis / Doctor of Philosophy (PhD)

The work exhibited in Of Light and Shadow is fragmented. The fragments of the work will display an understanding of materiality, immateriality, fragility, temporality, scale, and preservation while seeking to fragment photography as a traditional medium. This work has become less about the image and more about the art object itself and how it exists in the space. I am interested in the connections between art and science where a museum, herbarium, or glasshouse acts as a juxtaposition between art and science. In Of Light and Shadow, the chosen materials question their own materiality. I am interested in the ephemerality of objects and the fragility of their existence. I use light and shadow as a dichotomy that connects the natural and artificial. With this duality and materials manufactured and handmade, I create environments that beckon the viewer to consider other dichotomies such as light and shadow, inside and outside, past and present, art and science, and private and public. They are the in between. Miniaturized fragments contrast larger than life fragments that challenge the viewers’ senses, perception of reality, and scale. This work seeks to fragment photography as a material and immaterial mode of traditional storytelling where it constantly battles the question of “will it disappear” and “if so, when?”

Motivated by the lack of scholarship surrounding female characters in Gabriel Garcia Marquez's One Hundred Years of Solitude, I sought to examine the distinct identities of four female characters. The collapse of dualities and embodiment of hybridity in Ursula, Pilar Ternera, Amaranta, and the Remedios women reveals the hegemonic power structures that are disrupted by these empowered women. The exploration of these women and their relationships to gendered dichotomies points to the potential of their identities in enacting colonial resistance and reclaiming traditional cultural heritage.

The structure and geometry of subspaces of a given Banach space is among the most fundamental questions in Functional Analysis. In 1961, Kadec and Pelczyński pioneered a field of study by analyzing the structures of subspaces and basic sequences in L_p[0,1] under a naturally occurring restriction of p, 2 < p <\infty. They proved that any infinite-dimensional subspace X\subset L_p[0,1] for 2<p<\infty must either be isomorphic to l_2 and complemented in L_p or must contain a complemented subspace which is isomorphic to l_p. Many works since have studied the relationships between the sides of this dichotomy, chiefly by weakening hypotheses on side of the equation to gain stronger assumptions on the other. In this way, Johnson and Odell were able to show in 1974 that if X contains no further subspace which is isomorphic to l_2, then it must embed into l_p. Kalton and Werner further strengthened this result in 1993 by showing that such an embedding must be almost isometric. We start by analyzing the tools and definitions originally introduced in 1961 and define a natural extension to these methods. By analyzing this extension, we provide a constructive and streamlined reproving of Kalton and Werner's theorem: Let X be an infinite dimensional subspace of L_p[0,1] for 2<p<\infty. Then, either X contains a subspace which is isomorphic to l_2, or for every \varepsilon>\ 0, X embeds into l_p with constant 1 + \varepsilon.

Business leaders are increasingly responsible for the societal and environmental impacts of their actions. Yet conceptual views on responsible leadership differ in their definitions and theoretical foundations. This study attempts to reconcile these diverse views and uncover the phenomenon from a business leader's point of view. Based on rational egoism theory, this article proposes a formal mathematical model of responsible leadership that considers different types of incentives for stakeholder engagement. The analyses reveal that monetary and instrumental incentives are neither sufficient nor necessary for business leaders to consider societal and environmental stakeholder needs. Non-monetary and non-instrumental incentives, such as leaders' values and authenticity, as well as their planning horizons, counterbalance pure monetary and instrumental orientations. The model in this article complements the growing body of research on responsible leadership by reconciling its various conceptual views and providing a foundation for future theory development and testing.

Soit F une famille de sous-ensembles d'un espace polonais X. Soient A et B deux sous-ensembles de X. A est séparable de B par un ensemble de F s'il existe C dans F qui contient A et n'intersecte pas B. Lorsque A et B sont des sous-ensembles analytiques et F est une classe de Wadge de boréliens, la non séparabilité de A et B a été caractérisée par Louveau et Saint Raymond. Ils ont fourni un exemple minimum, pour un certain quasi-ordre, ce qui est connu sous le nom de dichotomie à la Hurewicz. Dans les espaces polonais produit, de nouvelles familles naturelles d'ensembles apparaissent. Un exemple, qui est lié à l'étude des graphes définissables, est la classe des produits de deux ensembles dans deux classes Borel F et F'. On caractérise separabilité des ensembles analytiques, lorsque F et F' sont des classes de Borel de petit rang. Une autre classe naturelle est celle des boréliens qui sont dans une certaine classe F si on affine les topologies originales en d'autres topologies polonaises. Nous appelons ces ensembles potentiellement dans F. Lecomte a caractérisé la séparabilité des ensembles analytiques par des ensembles potentiellement dans F, lorsque F est une classe de Wadge de boréliens. Une question naturelle est de se demander si nous pouvons avoir cette dichotomie pour un quasi-ordre plus fin qui utilise des fonctions injectives. Dans la deuxième partie du manuscrit, on caractérise la separabilité pour ce quasi-ordre lorsque A, B sont des ensembles analytiques et F est la classe des ensembles potentiellement dans C. Des hypothèses plus fortes sont nécessaires, de sorte que nous développons une notion qui généralise à la fois l'acyclicité et la locale dénombrabilité. / Let F be a family of subsets of a Polish space X. Given two subsets A and B of X, one says that A is separable from B by a set in F if there is C in F which contains A and does not intersect B. When A and B are analytic subsets and F is a Wadge class of Borel sets, the non separability of A and B was characterized by Louveau and Saint Raymond. They provided a minimum example, for some quasi-order, in what is known as a Hurewicz dichotomy. If we consider the product of two Polish spaces, new natural families of sets (and thus new separation problems) arise. An example, that is related to the study of definable graphs, is the class of products of sets in two Borel classes F and F'. We obtain a characterization of the separability when F and F' are Borel classes of low rank. Another natural class is the class of Borel sets which are in a certain class F if one refines the original topologies into other Polish topologies. We call these sets potentially in F. A dichotomy characterizing separability of analytic sets by sets potentially in F was proved by Lecomte when F is any Wadge class of Borel sets. However, a natural question is to ask whether we can have this dichotomy for a finer quasi-order, involving injective functions. In the second part of the manuscript, we give a characterization involving this other quasi-order when A,B are analytic sets and F is the class of sets potentially in C. Stronger hypothesis are needed, so we develop a notion that generalizes both acyclicity and local countability.

We consider a version of the pole placement problem for tempered one sided linear discrete time time varying linear systems. We prove a sufficient condition for assignability of the nonuniform dichotomy spectrum by linear feedback. The main result is that the nonuniform dichotomy spectrum is assignable if the system is completely controllable and certain lower asymptotic bound for the controllability Gramian holds.

In its contemporary incarnation the Epic, an artistic endeavor that has historically sought to encompass all other forms in a single seamless story line, can only fully command the realm of the internal. It demands the creation of a personal, metaphysical journey of self-revelation, and the fictionalization and itemization of the psychological players. This project, a narrative under the direction of combative philosophical leanings, attempts to reconcile the fundamental dichotomies that govern my existence and consolidate them into a cohesive conceptual and concrete form.

This thesis is comprised of two parts. The first part (Chapter 1) concerns a problem born from descriptive set theory, and is motivated by the desire to understand a particular topological game, in the presence of examples which exhibit interesting (arguably counterintuitive) behaviour. The work develops an understanding of the limits of this behaviour, and indicates where one might look for interesting examples. While set-theoretic techniques may appear in the analysis here, the focus is mostly topological. The second part (Chapter 2) is much more set-theoretic. The work there developed from an interest in characterising closed subsets of &beta;&omega;, and focuses on developing tools which are promising for generalising the current relative consistency proofs of a duality principle for closed subsets of &beta;&omega;&omega;. Knowledge of forcing comparable to that contained in Kunen and Jech is assumed. The appendices contain results which are worthy of inclusion, and help provide additional perspective on the rest of the text. The results there are probably all already known, if not all recorded in the literature.