Spaces of compact operators on C(2(m) circle plus [0, alpha]) spaces

We classify up to isomorphism the spaces of compact operators K(E, F), where E and F are Banach spaces of all continuous functions defined on the compact spaces 2(m) circle plus [0, alpha], the topological sum of Cantor cubes 2(m) and the intervals of ordinal numbers [0, alpha]. More precisely, we prove that if 2(m) and aleph(gamma) are not real-valued measurable cardinals and n >= aleph(0) is not sequential cardinal, then for every ordinals xi, eta, lambda and mu with xi >= omega(1), eta >= omega(1), lambda = mu < omega or lambda, mu is an element of [omega(gamma), omega(gamma+1)[, the following statements are equivalent: (a) K(C(2(m) circle plus [0, lambda]), C(2(n) circle plus [0, xi])) and K(C(2(m) circle plus [0, mu]), C(2(n) circle plus [0, eta]) are isomorphic. (b) Either C([0, xi]) is isomorphic to C([0, eta] or C([0, xi]) is isomorphic to C([0, alpha p]) and C([0, eta]) is isomorphic to C([0,alpha q]) for some regular cardinal alpha and finite ordinals p not equal q. Thus, it is relatively consistent with ZFC that this result furnishes a complete isomorphic classification of these spaces of compact operators. (C) 2010 Elsevier Inc. All rights reserved.

Bourdieu`s reflexive sociology and `spaces of points of view`: whose reflexivity, which perspective?

This paper considers Bourdieu's concepts of perspectivism and reflexivity, looking particularly at how he develops arguments about these in his recent work, The Weight of the World (1999) and Pascalian Meditations (2000b). We explicate Bourdieu's distinctive purposes and deployment of these terms and approaches, and discuss how this compares with related methodological and theoretical approaches currently found in social and feminist theory. We begin by considering three main ways in which 'reflexivity' is deployed in current sociological writing, distinguishing between reflexive sociology and a sociology of reflexivity. This is followed by a discussion of the main aspects of Bourdieu's approach to 'reflexive sociology' and its relation to his concepts of social field, perspectivism and spaces of point of view. He argues that we need to interrogate the idea of a single 'perspective' and account especially for the particularity and influence of the 'scholastic' point of view. He characterizes this latter point of view as unaware of its own historicity and as largely concerned with contemplation and with treating ideas primarily as abstractions (Bourdieu, 2000b). Bourdieu's intervention is to argue, as he has throughout his work, for a more reflexive account of one's location and habitus, and for sustained engagement with ideas and social issues as practical problems. Bourdieu exhorts researchers to work with 'multiple perspectives' (Bourdieu et al., 1999, p. 3), the various competing 'spaces of points of view', without collapsing into subjectivism or relativism. We then consider recent feminist engagements with and critiques of Bourdieu's notion of reflexivity and chart some of the main points of contention regarding its relevance and conceptual potential for theorizing gender identities and transformations in current times. We conclude with a brief outline of how we are working with a reflexive sociological approach in a cross-generational study of young women in difficult circumstances, 'on the margins' of education and work.

Policing in the 'communal spaces' of major event venues

The recent re-conceptualization of 'mass private property' as one form of 'communal spaces' raises a series of questions concerning policing and security in these domains. This paper applies the concept of 'communal spaces' to an analysis of policing in 'major event venues.' We assess the character of policing in these communal spaces by drawing upon interviews conducted with policing—private and public—personnel operating in major event venues. The paper identifies different perspectives on the nature of policing in these communal spaces and tension between public and private police personnel concerning their respective roles and responsibilities. We conclude by raising issues concerning the implications for the 'public good' in policing at major event venues.

'Particularly happy' arrangement?: Idealism, pragmatism and the enclosed open spaces of Perth garden suburbs

One of the hallmarks of many planned garden suburbs of the early twentieth century is the internal reserve: open space at the rear of residences, without street frontage. An idealistic conception with direct links to overseas planning theory, these spaces were not always well received by either local councils or residents; despite this, many survive today as legacies of early suburban reformism. Perth’s highest-profile planning advocates of the interwar years, most notably town clerk William Bold and the progressive surveying  partnership of Hope and Klem, embraced and encouraged the idea and a number of middle-ring suburbs in Perth feature internal reserves which have survived both encroachment and resubdivision. Some have been given heritage status in recognition of their importance to the history and fabric of particular suburban communities; others remain neglected and essentially unacknowledged. All raise ongoing usage, maintenance and management issues for the councils that have inherited them.

Hope of a nation - experiences of social exclusion giving rise to spaces of inclusion for people living with HIV and AIDs in South Africa : a reflection

South Africa has one of the highest rates of HIV/AIDS in the world. No one particular group is affected by the virus – rather, it is indiscriminate. Responses to HIV are diverse, and can be starkly contradictory. This author lived among the Xhosa people in rural Eastern Cape, working in community development. The program was a population-based youth empowerment program around HIV prevention. The work involved engaging youth in a range of civic participation activities, and networking with other community based groups and organisations, health and social services, and government departments. This reflection out a narrative of the lived experiences of social exclusion and social connectedness for people living with HIV/AIDS in rural Eastern Cape. It draws out the paradox of how the high prevalence of stigma and discrimination towards those with the illness, and their subsequent experience of social exclusion, actually creates opportunities for social connectedness through support group participation. This in turn is fashioning an emerging social movement breaking down barriers of stigma, and contributing to broader social change to support HIV action.

The reflection begins by outlining the current context and underlying determinants of the proliferation of HIV in the Eastern Cape, including a discussion of exclusion as a determinant. An exploration of how exclusion is also experienced as an outcome of positive HIV status follows. Finally, an explanation of how the experience of exclusion can be transformed into spaces of connectedness, and implications for health promotion practice in this context is also presented.

Spaces of empire : culture, discourse, and urban formation with particular reference to British Hong Kong, 1842-1914

Traces the ideological formations of British colonialism using the techniques of modern European cartography to examine the practices of spatial production in Hong Kong's capital city, Victoria. This examination demonstrates how notions of British cultural identity and self-representation were inscribed throughout the colonial urban environment by considering the ways in which the British colonial authorities sought to condition, control, and maintain the organisation of space.

Defining national identity? Visiting the architectural spaces of the Museum of Scotland

National Cultures construct identities by producing meanings about the nation with which we can identify, meanings which are contained in the stories which are told about it, memories which connect its present within its past, and images which are constructed of it. A museum, the repository of a nation’s culture, which connects the past to the present through recounting stories about the artefacts of past cultures is clearly significant in representing the culture of a nation.

This paper explores the architectural spaces of the new Museum of Scotland, which opened in Edinburgh in November 1998. The museum has opened at a crucial time in Scottish history. The Scottish cultural renaissance is manifested in the increase in cultural production and call for Scottish cultural institutions. Parallel to this renaissance are political developments with the re-creation of a Scottish Parliament in 1999. When the idea of ‘Scotland’ is itself in a state of flux, the stories of the nation told in the museum, which attempt to give a sense of location, a connection between the individual and the nation are especially important.

Thus, issues of identity and ‘self’ are crucially important in understanding the contemporary museum. Within this, the relations between the production of these narratives and their consumption by the public are little understood. The majority of studies have concentrated, although not exclusively, on the production of museum displays, primarily with the "politics and poetics" of display. This paper analyses the relationship between producer and consumer within the Museum of Scotland, attempting to reconnect the forces of production and consumption. In doing so, it focuses primarily on the differing conceptions of the ability of the Museum to be able to narrate the nation.

Based on interviews both with museum staff and with visitors to the museum, it argues that an understanding of the relationship between the museum and Scottish national identity can only be considered through an understanding of the tension between the producers’ intentions and the way in which consumers conceptualise the museum as a space for "telling the nation".

A unified formalism for landmark based representation of maps and navigation plans

We present a unified formalism for representing maps and using them for constructing plans of navigation for an autonomous agent. The foundation of this work lies in addressing key questions that an agent is confronted with when navigating. That is, besides the main task of how to reach the intended destination from the current position, the agent faces other questions like: where am I? what landmarks can I see? where is my destination relative to me and the landmarks I am seeing? Fundamental to this representation is the use of visual landmarks, which are used as pivotal points in the landscape being described. Further, in the representation of spatial information and navigation there are three different viewpoints: first, the localized representation from the viewpoint of a sighted, mobile agent; second, the static representation seen by the map-maker; and third, the view of an external agent giving directions on the basis of his own experience/knowledge. The major contribution of this map model and the associated navigation method lies in the framework which unifies these three different points of view. This unification enables the agent to make no distinction in terms of following implicit instructions contained in a map and the directions given by external agents.