Property A and exactness of the uniform Roe algebra

In this short note, prepared for the volume of conjectures to celebrate Guido Mislin's retirement, we outline the conjecture that a uniformly discrete bounded geometry metric space X has property A if and only if the uniform Roe algebra C^?(X ) is exact

A homological characterization of topological amenability

Generalizing Block and Weinberger’s characterization of amenability we introduce the notion of uniformly finite homology for a group action on a compact space and use it to give a homological characterization of topological amenability for actions. By considering the case of the natural action of G on its Stone-Cech compactification we obtain a homological characterisation of exactness of the group

Uniform Local Amenability

The main results of this paper show that various coarse (`large scale') geometric properties are closely related. In particular, we show that property A implies the operator norm localisation property, and thus that norms of operators associated to a very large class of metric spaces can be effectively estimated. The main tool is a new property called uniform local amenability. This property is easy to negate, which we use to study some `bad' spaces. We also generalise and reprove a theorem of Nowak relating amenability and asymptotic dimension in the quantitative setting

Task and ego goal orientations in competitive sport: a quantitative review of the literature from 1989 to 2016

Achievement goal theory (AGT) is a dominant theoretical framework. The purposes of this review were (1) to provide a summary of the task and ego goal orientations literature in competitive sport as measured by the Task and Ego Orientations in Sport Questionnaire (TEOSQ) or the Perceptions of Success in Sport Questionnaire (POSQ), (2) to test the interdependence of the two goal orientations, and (3) to provide the estimated means for both orientations across a number of historically examined moderator variables. 260 studies met inclusion criteria totaling 80,959 unique participants across 39 countries and 32 sports. Youth samples were nearly 50% of all included studies. The meta-analyzed intercorrelations (rw=.18, z=9.96, p<.000) supported the conceptualized interdependence of the two goal orientations. The estimated mean values were 4.15+.30 (task) and 3.04+.51 (ego). However, differences, POSQ compared to TEOSQ, existed in the estimated means (g=.92 task; g=1.09 ego). Thus, the TEOSQ and POSQ samples for the moderator variables (i.e. sex, sport level, sport type, and collective/individualistic countries) were examined separately. Results both supported and refuted the hypotheses and also differed by measure. Because of TEOSQ and POSQ inconsistencies, an additional analysis was undertaken to examine whether the TEOSQ and POSQ differed to a common correlate motivation climate. This analysis revealed measurement differences in the ego to ego climate relationships. In conclusion, AGT has been extensively researched in competitive sport. The inconsistent pattern of results raises a number of future research questions