Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality

We study representations of MV-algebras -- equivalently, unital lattice-ordered abelian groups -- through the lens of Stone-Priestley duality, using canonical extensions as an essential tool. Specifically, the theory of canonical extensions implies that the (Stone-Priestley) dual spaces of MV-algebras carry the structure of topological partial commutative ordered semigroups. We use this structure to obtain two different decompositions of such spaces, one indexed over the prime MV-spectrum, the other over the maximal MV-spectrum. These decompositions yield sheaf representations of MV-algebras, using a new and purely duality-theoretic result that relates certain sheaf representations of distributive lattices to decompositions of their dual spaces. Importantly, the proofs of the MV-algebraic representation theorems that we obtain in this way are distinguished from the existing work on this topic by the following features: (1) we use only basic algebraic facts about MV-algebras; (2) we show that the two aforementioned sheaf representations are special cases of a common result, with potential for generalizations; and (3) we show that these results are strongly related to the structure of the Stone-Priestley duals of MV-algebras. In addition, using our analysis of these decompositions, we prove that MV-algebras with isomorphic underlying lattices have homeomorphic maximal MV-spectra. This result is an MV-algebraic generalization of a classical theorem by Kaplansky stating that two compact Hausdorff spaces are homeomorphic if, and only if, the lattices of continuous [0, 1]-valued functions on the spaces are isomorphic.

In Search of Political Influence: Strategic Choices and Media Coverage of Political Parties, Interest Groups and Social Movements in Western European Countries

Outside lobbying is a key strategy for social movements, interest groups and political parties for mobilising public opinion through the media in order to pressure policymakers and influence the policymaking process. Relying on semi-structured interviews and newspaper content analysis in six Western European countries, this article examines the use of four outside lobbying strategies – media-related activities, informing (about) the public, mobilisation and protest – and the amount of media coverage they attract. While some strategies are systematically less pursued than others, we find variation in their relative share across institutional contexts and actor types. Given that most of these differences are not accurately mirrored in the media, we conclude that media coverage is only loosely connected to outside lobbying behaviour, and that the media respond differently to a given strategy when used by different actors. Thus, the ability of different outside lobbying strategies to generate media coverage critically depends on who makes use of them.

Perceived Competition Explains Regional Differences in the Stereotype Content of Immigrant Groups

This research investigates differences in the stereotype content of immigrant groups between linguistic regions. We expected that immigrant groups who speak the local language of a specific linguistic region would be perceived as more competitive within this region than in another linguistic region. Further, we expected these differences would underlie regional differences in stereotype content, albeit only for the warmth dimension. Predictions were tested in the two largest linguistic regions of Switzerland. As expected, in the German-speaking region, locals perceived German immigrants as more competitive and thus as less warm, whereas in the French-speaking region, locals perceived French immigrants as more competitive and, consequently, as less warm. So, paradoxically, immigrants with strong integration potential are particularly disliked because they are regarded as direct competitors.

Stereotype Content Associated with Immigrant Groups in Switzerland

This research examines stereotypes associated with immigrant groups in Switzerland. In line with the stereotype content model, we expected immigrant groups to be perceived differentially on the dimensions of warmth and competence as a function of their national origin. Second, we expected the stereotype content to be predominantly mixed, that is, groups are either perceived as warmer than competent or as colder than competent. Third, we expected stereotype contents to correlate with their sociostructural precursors, namely, competition and status. The results supported our hypotheses: The nine most salient immigrant groups fell into five meaningful clusters, based on their perceived warmth and competence. Most stereotype contents were mixed. Moreover, we found that warmth perceptions were predicted by both competition and status, whereas competence perceptions were predicted by status only. This research emphasizes the importance of considering the diversity of the immigrant population when studying immigrant stereotypes.

The Career Satisfaction Scale in Context: A Test for Measurement Invariance Across Four Occupational Groups

This study analyzed the influence of the occupational context on the conceptualization of career satisfaction measured by the career satisfaction scale (CSS). In a large sample of N ¼ 729 highly educated professionals, a cross-occupational (i.e., physicians, economists, engineers, and teachers) measurement invariance analysis showed that the CSS was conceptualized according to occupational group membership, that is, 4 of the 5 items of the scale showed measurement noninvariance. More specifically, the relative importance, the response biases, and the reliabilities associated with different career satisfaction content domains measured by the CSS (i.e., achieved success, overall career goals, goals for advancement, goals for income, and goals for development of new skills) varied by occupational context. However, results of a comparison between manifest and latent mean differences between the occupational groups revealed that the observed measurement noninvariance did not affect the estimation of mean differences.

Promising anchoring groups for single-molecule conductance measurements

The understanding of the charge transport through single molecule junctions is a prerequisite for the design and building of electronic circuits based on single molecule junctions. However, reliable and robust formation of such junctions is a challenging task to achieve. In this topical review, we present a systematic investigation of the anchoring group effect on single molecule junction conductance by employing two complementary techniques, namely scanning tunneling microscopy break junction (STM-BJ) and mechanically controllable break junction (MCBJ) techniques, based on the studies published in the literature and important results from our own work. We compared conductance studies for conventional anchoring groups described earlier with the molecular junctions formed through π-interactions with the electrode surface (Au, Pt, Ag) and we also summarized recent developments in the formation of highly conducting covalent Au–C σ-bonds using oligophenyleneethynylene (OPE) and an alkane molecular backbone. Specifically, we focus on the electron transport properties of diaryloligoyne, oligophenyleneethynylene (OPE) and/or alkane molecular junctions composed of several traditional anchoring groups, (dihydrobenzo[b]thiophene (BT), 5-benzothienyl analogue (BTh), thiol (SH), pyridyl (PY), amine (NH2), cyano (CN), methyl sulphide (SMe), nitro (NO2)) and other anchoring groups at the solid/liquid interface. The qualitative and quantitative comparison of the results obtained with different anchoring groups reveals structural and mechanistic details of the different types of single molecular junctions. The results reported in this prospective may serve as a guideline for the design and synthesis of molecular systems to be used in molecule-based electronic devices.

Remarks on Lipschitz domains in Carnot groups

In this Note we present the basic features of the theory of Lipschitz maps within Carnot groups as it is developed in [8], and we prove that intrinsic Lipschitz domains in Carnot groups are uniform domains.

Comment: Earnings Returns to Education in Urban China: A Note on Testing Differences among Groups

Comment on Wu and Xie, ASR, June 2003

Organosulfur donor with hydroxy groups and its conducting salt: crystal structures and physical properties

Crystal structures of organosulfur donor 2-(5′,6′-dihydro[1,3]dithiolo[4,5-b][1,4]-dithiin-2′-ylidene)-6,7-di-hydro-5H-[1,3]dithiolo[4,5-b][1,4]dithiepine-6,6-dimethanol (D) and its conducting salt D2I3 are described. Conductivity properties of D2I3 are also discussed.

Molecular Classification of Ependymal Tumors across All CNS Compartments, Histopathological Grades, and Age Groups

Ependymal tumors across age groups are currently classified and graded solely by histopathology. It is, however, commonly accepted that this classification scheme has limited clinical utility based on its lack of reproducibility in predicting patients' outcome. We aimed at establishing a uniform molecular classification using DNA methylation profiling. Nine molecular subgroups were identified in a large cohort of 500 tumors, 3 in each anatomical compartment of the CNS, spine, posterior fossa, supratentorial. Two supratentorial subgroups are characterized by prototypic fusion genes involving RELA and YAP1, respectively. Regarding clinical associations, the molecular classification proposed herein outperforms the current histopathological classification and thus might serve as a basis for the next World Health Organization classification of CNS tumors.