Multivalued Functions in Digital Topology

We study several types of multivalued functions in digital topology

Abelian Surfaces over totally real fields are Potentially Modular

We show that abelian surfaces (and consequently curves of genus 2) over totally real fields are potentially modular. As a consequence, we obtain the expected meromorphic continuation and functional equations of their Hasse--Weil zeta functions. We furthermore show the modularity of infinitely many abelian surfaces A over Q with End_C(A)=Z. We also deduce modularity and potential modularity results for genus one curves over (not necessarily CM) quadratic extensions of totally real fields.Comment: 285 page

Discourses of change ownership in higher education

PURPOSE - This paper demonstrates how the positioning of self and others affects change in higher education. DESIGN/METHODOLOGY/APPROACH - The discourse of various educators was collected during various interviews and discussion groups. A positioning theory framework was used to analyse the data and derive conclusions. FINDINGS - It is shown that if individuals are understood in terms of their agendas in relation to the organisational context that they can be better led. RESEARCH LIMITATIONS/IMPLICATIONS - The quantity and quality of data available has limited the integrity of conclusions drawn from this paper. Further research is proposed that will provide a more robust understanding. PRACTICAL IMPLICATIONS - An approach to understand how to deal with various stakeholders is presented for leaders. There is a need to deal with each person as an individual depending on how their personal agendas influence their priorities. ORIGINALITY/VALUE - This paper introduces a social constructionist perspective to leading academics

Volunteering + Values: A Repair the World Report on Jewish Young Adults

Presents survey findings on young Jewish adults' commitments to, attitudes toward, and concerns and motivations in volunteering, including views on the links between service and Jewish identity and values. Outlines implications for boosting volunteering

Using positioning theory to understand how senior managers deal with sustainability

Social pressure for sustainability has become a significant factor in Australian business. Made popular by a variety of diverse social movements that employ various tactics, sustainability is increasingly being debated in boardrooms and work areas of both large and small businesses. In this research, sustainability issues are treated as a set of a wider range of obligatory and externally imposed (OEI) issues that are increasingly confronting contemporary business. Of interest to this research is how senior managers deal with sustainability issues. While some businesses excel in dealing with OEI issues, others prevaricate. This research focuses on those businesses that appear to excel in resolving sustainability issues to explore how senior managers deal with sustainability issues. Such understanding is essential for contemporary practising senior managers, as it provides guidance for management behaviour that will enable sustainability and other OEI issues to be dealt with. The author's effort to understand how senior managers deal with sustainability issues has led to the first business context application of Harré's positioning theory. A social constructionist approach, positioning theory is concerned with ordinary conversations, and presumes that these are the building blocks of all other discursive phenomena. The resulting theory builds on positioning theory and provides a point of departure to conduct related research on other organizations that excel in dealing with OEI issues and those that prevaricate. With positioning theory it has been shown that, in dealing with sustainability issues, senior managers engage in a range of positioning of themselves and others. In doing so, power and knowledge have been considered in the light of Foucault's unique and penetrating concepts. This has led to the proposed augmentation of positioning theory to include a concept of social flux, which is put forward as an indication of social order or culture. Through this development, it has shown how senior managers confront opposition and reinforce support to enable them to achieve and preserve sustainability objectives. In practical terms, senior managers alter four components of the social order to align the culture with the issues that need to be dealt with. These components - rights, duties, morals and actions - are parameters that senior managers tune or level when they deal with sustainability issues. When the social order is appropriately tuned or levelled, it is aligned with the issues that need to be dealt with. That alignment enables issues to be resolved in a way appropriate for the organization