title: Almost weak Asplund spaces

authors: Somasundaram, Sivajah

abstract: Continuous convex functions have long been known to be generically differentiable on Euclidean spaces. However, in 1968 Asplund decided to investigate and classify those Banach spaces that possess this Euclidean space property. Specifically, Asplund investigated those Banach spaces on which every continuous convex function is Gâteaux (Fréchet) differentiable at the points of a residual subset of their domain. Such spaces are now known as weak Asplund (Asplund) spaces. While the study of Asplund spaces has flourished into a beautifully detailed story admitting several characterisations, the corresponding theory for weak Asplund spaces has been rather thin. In particular, there are no known characterisations for this class of spaces. 
In one attempt to provide such a characterisation, the class of Gâteaux differentiability spaces, that is, those spaces on which every continuous convex function is densely Gâteaux differentiable, was introduced. While it follows from the definition that every weak Asplund space is a Gâteaux differentiability space, it has been a long standing open problem, first asked by Larman and Phelps in 1979, as to whether every Gâteaux differentiability space is a weak Asplund space. 
The main goal of this thesis is to construct a Gâteaux differentiability space that is not weak Asplund, thus answering the question of Larman and Phelps from 1979. We achieve this counter-example by considering Banach spaces of the form (C(K),∥·∥∞), where K is a compact Hausdorff space.

text: Almost weak Asplund spaces Continuous convex functions have long been known to be generically differentiable on Euclidean spaces. However, in 1968 Asplund decided to investigate and classify those Banach spaces that possess this Euclidean space property. Specifically, Asplund investigated those Banach spaces on which every continuous convex function is Gâteaux (Fréchet) differentiable at the points of a residual subset of their domain. Such spaces are now known as weak Asplund (Asplund) spaces. While the study of Asplund spaces has flourished into a beautifully detailed story admitting several characterisations, the corresponding theory for weak Asplund spaces has been rather thin. In particular, there are no known characterisations for this class of spaces. 
In one attempt to provide such a characterisation, the class of Gâteaux differentiability spaces, that is, those spaces on which every continuous convex function is densely Gâteaux differentiable, was introduced. While it follows from the definition that every weak Asplund space is a Gâteaux differentiability space, it has been a long standing open problem, first asked by Larman and Phelps in 1979, as to whether every Gâteaux differentiability space is a weak Asplund space. 
The main goal of this thesis is to construct a Gâteaux differentiability space that is not weak Asplund, thus answering the question of Larman and Phelps from 1979. We achieve this counter-example by considering Banach spaces of the form (C(K),∥·∥∞), where K is a compact Hausdorff space.

year: 2004

title: ACT and Food Craving in a Non-Clinical Population

authors: Tritt, Jacqueline

subjects: ACT

abstract: A food craving is an intense urge to consume a desired food; the craving is specific and cannot be satiated by any other food. Forman and colleagues (2007) found, that for individuals with a Power of Food Scale score of 42 or higher, an acceptance-based workshop decreased an individual’s food craving and snack food consumption. I aimed to replicate Forman et al.’s (2007) findings using a single-subject multiple-baseline experimental design and expanded the food used in the study from chocolate to a range of preferred snack foods. Eleven participants completed the Power of Food Scale questionnaire, Food Craving Questionnaire-State version, daily single-item Craving Dimension ratings, and measured daily consumption snack food weights. Findings replicated Forman et al.’s (2007) results. When individual analysis was applied, a gender difference was suggested with male data displaying more change in consumption levels and craving ratings compared to the female consumption levels and craving ratings data.

text: ACT and Food Craving in a Non-Clinical Population A food craving is an intense urge to consume a desired food; the craving is specific and cannot be satiated by any other food. Forman and colleagues (2007) found, that for individuals with a Power of Food Scale score of 42 or higher, an acceptance-based workshop decreased an individual’s food craving and snack food consumption. I aimed to replicate Forman et al.’s (2007) findings using a single-subject multiple-baseline experimental design and expanded the food used in the study from chocolate to a range of preferred snack foods. Eleven participants completed the Power of Food Scale questionnaire, Food Craving Questionnaire-State version, daily single-item Craving Dimension ratings, and measured daily consumption snack food weights. Findings replicated Forman et al.’s (2007) results. When individual analysis was applied, a gender difference was suggested with male data displaying more change in consumption levels and craving ratings compared to the female consumption levels and craving ratings data.

year: 2015

title: Antipodean settler societies and their complexities: the Waitangi process in New Zealand and native title and the stolen generations in Australia

authors: Byrnes, Giselle

subjects: native title claim

abstract: This article considers the process of determining native title claims and responding to the revelation of forced Indigenous child removal in Australia, together with the Treaty of Waitangi claims process in New Zealand; each of which can be understood more broadly as a response to the aftermath and ongoing consequences of colonisation. We undertake this analysis comparatively, through an examination of the broad sweep of colonial history in both countries, followed by a more detailed consideration of the processes in question, as they have become manifest over the last decade or so in Australia and almost 30 years in New Zealand. We compare and contrast the institutions, epistemological and political preoccupations and language in each case, revealing various latent ironies and incongruities in the systems on both sides of the Tasman Sea.

text: Antipodean settler societies and their complexities: the Waitangi process in New Zealand and native title and the stolen generations in Australia This article considers the process of determining native title claims and responding to the revelation of forced Indigenous child removal in Australia, together with the Treaty of Waitangi claims process in New Zealand; each of which can be understood more broadly as a response to the aftermath and ongoing consequences of colonisation. We undertake this analysis comparatively, through an examination of the broad sweep of colonial history in both countries, followed by a more detailed consideration of the processes in question, as they have become manifest over the last decade or so in Australia and almost 30 years in New Zealand. We compare and contrast the institutions, epistemological and political preoccupations and language in each case, revealing various latent ironies and incongruities in the systems on both sides of the Tasman Sea.

year: 2008