Polynomial Functions and the Riesz Interpolation Property

Building on a proof by D. Handelman of a generalisation of an example due to L. Fuchs, we show that the space of real-valued polynomials on a non-empty set X of reals has the Riesz Interpolation Property if and only if X is bounded.

Educating the dental team:exploring perceptions of roles and identities

Interprofessional education (IPE) should help to promote a team-based approach to professional practice but there are barriers to its implementation including professional identity. The aim of this study was to use a qualitative research methodology to explore dental and dental care professional (DCP) students' perceptions of professional roles and identities in the dental team. Data were collected by means of focus groups from a purposive sample of dental and DCP students and were audio recorded, transcribed and analysed using an explanatory framework. Five common themes emerged around the issue of professional roles and identity in the dental team. The results indicate that professional identity was an important factor in team development and was determined by direct responsibility for patient care and by the amount of clinical experience acquired. Professional identity within a team context was perceived as different from professional identity per se. Dental students were found to lack confidence in their role as team leaders which was related to their lack of knowledge of team roles, responsibilities and experience. The role of the dental technician was perceived as 'outside' the dental team due to lack of patient interaction.

Common Ingroups and Complex Identities: Routes to Reducing Bias in Multiple Category Contexts

We tested the hypothesis that evaluative bias in common ingroup contexts versus crossed categorization contexts can be associated with two distinct underlying processes. We reasoned that in common ingroup contexts, self-categorization, but not perceived complexity, would be positively related to intergroup bias. In contrast, in crossed categorization contexts, perceived complexity, but not self-categorization, would be negatively related to intergroup bias. In two studies, and in line with predictions, we found that while self-categorization and intergroup bias were related in common ingroup contexts, this was not the case in crossed categorization contexts. Moreover, we found that perceived category complexity, and not self-categorization, predicted bias in crossed categorization contexts. We discuss the implications of these findings for models of social categorization and intergroup bias.