Local polynomial convexity of the union of two totally-real surfaces at their intersection

We consider the following question: Let S (1) and S (2) be two smooth, totally-real surfaces in C-2 that contain the origin. If the union of their tangent planes is locally polynomially convex at the origin, then is S-1 boolean OR S-2 locally polynomially convex at the origin? If T (0) S (1) a (c) T (0) S (2) = {0}, then it is a folk result that the answer is yes. We discuss an obstruction to the presumed proof, and provide a different approach. When dim(R)(T0S1 boolean AND T0S2) = 1, we present a geometric condition under which no consistent answer to the above question exists. We then discuss conditions under which we can expect local polynomial convexity.

Computing Reeb Graphs as a Union of Contour Trees

The Reeb graph of a scalar function tracks the evolution of the topology of its level sets. This paper describes a fast algorithm to compute the Reeb graph of a piecewise-linear (PL) function defined over manifolds and non-manifolds. The key idea in the proposed approach is to maximally leverage the efficient contour tree algorithm to compute the Reeb graph. The algorithm proceeds by dividing the input into a set of subvolumes that have loop-free Reeb graphs using the join tree of the scalar function and computes the Reeb graph by combining the contour trees of all the subvolumes. Since the key ingredient of this method is a series of union-find operations, the algorithm is fast in practice. Experimental results demonstrate that it outperforms current generic algorithms by a factor of up to two orders of magnitude, and has a performance on par with algorithms that are catered to restricted classes of input. The algorithm also extends to handle large data that do not fit in memory.

Notable reacción europea ante otro intento laicista : El crucifijo en las escuelas italianas y la Corte de Estrasburgo (a propósito de la sentencia “Lautsi c. Italy”)

Resumen: Del mismo modo como hace no muchos años la ciudadanía europea se conmovió frente al planteo sobre las raíces cristianas en el momento de redactar la Constitución de la Unión Europea, dando lugar a numerosos discursos sobre la necesidad de no olvidar la verdadera cultura y enseñanza que había ennoblecido al Viejo Mundo, hace casi un año una sentencia proveniente de la Corte de Estrasburgo aplicable al Estado italiano, el caso “Lautsi c. Italy”, ha generado numerosas reacciones en diferentes sectores intelectuales permitiendo el desarrollo de notables argumentos que han intentado desenmascarar los verdaderos rostros que se encontraban velados detrás de los lugares comunes de la argumentación jurídico-política de los últimos dos siglos, especialmente los de laicidad, neutralidad, igualdad y libertad. De este modo la radicalización y desarrollo llevado al extremo de las premisas de la Ilustración ha mostrado su real fisonomía y consecuencia. Para tal propósito el análisis se concentra en la apelación a la Grande Chambre presentada por el Estado italiano y los sucesivos aportes provenientes de la doctrina europea, especialmente a través de valiosos Congresos y Jornadas dedicados a la problemática.

Union Formation and Bargaining Rules in the Labor Market

This paper analyzes union formation in a model of bargaining between a firm and several unions. We address two questions: first, the optimal configuration of unions (their number and size) and, second, the impact of the bargaining pattern (simultaneous or sequential). For workers, grouping into several unions works as a price discrimination device which, at the same time, decreases their market power. The analysis shows that optimal union configuration depends on the rules that regulate the bargaining process (monopoly union, Nash bargaining or right to manage).

Régimen jurídico de las lenguas y reconocimiento de la diversidad lingüística en el Tratado por el que se establece una Constitución para Europa

The territory of the European Union is made up of a rich and wide-ranging universe of languages, which is not circumscribed to the «State languages». The existence of multilingualism is one of Europe’s defining characteristics and it should remain so in the constantly evolving model of Europe’s political structure. Nonetheless, until now, the official use of languages has been limited to the «State languages» and has been based on a concept of state monolingualism that has led to a first level of hierarchization among the languages of Europe. This has affected the very concept of European language diversity. The draft of the treaty establishing a European Constitution contains various language-related references that can be grouped in two major categories: on the one hand, those references having to do the constitutional status of languages, and on the other, those regarding the recognition of European language diversity. Both issues are dealt with in this article. In analyzing the legal regime governing languages set forth in the draft of the constitutional treaty, we note that the draft is not based on the concept of the official status of languages. The language regulation contained in the draft of the constitutional treaty is limited in character. The constitutional language regime is based on the concept of Constitutional languages but the official status of languages is not governed by this rule. The European Constitution merely enunciates rights governing language use for European citizens vis-à-vis the languages of the Constitution and refers the regulation of the official status of languages to the Council, which is empowered to set and modify that status by unanimous decision. Because of its broad scope, this constitutes a regulatory reservation. In the final phase of the negotiation process a second level of constitutional recognition of languages would be introduced, linked to those that are official languages in the member states (Catalan, Basque, Galician, etc.). These languages, however, would be excluded from the right to petition; they would constitute a tertium genus, an intermediate category between the lan guages benefiting from the language rights recognized under the Constitution and those other languages for which no status is recognized in the European institutional context. The legal functionality of this second, intermediate category will depend on the development of standards, i.e., it will depend on the entrée provided such languages in future reforms of the institutional language regime. In a later section, the article reflects on European Union language policy with regard to regional or minority languages, concluding that the Union has not acted in accordance with defined language policy guidelines when it has been confronted, in the exercise of its powers, with regional or minority languages (or domestic legislation having to do with language demands). The Court of Justice has endeavoured to resolve on a case by case basis the conflicts raised between community freedoms and the normative measures that protect languages. Thus, using case law, the Court has set certain language boundaries for community freedoms. The article concludes by reflecting on the legal scope of the recognition of European language diversity referred to in Article II-82 of the European Constitution and the possible measures to implement the precept that might constitute the definition of a true European language policy on regional or minority languages. Such a policy has yet to be defined.

Assistance in poverty alleviation through improved aquatic resources management in Asia-Pacific: DoF/NACA-STREAM/FAO Workshop on livelihoods approaches and analysis. Yangon, Union of Myanmar, 11-15 May 2004

This is the report of the “DoF/NACA-STREAM/FAO Workshop on Livelihoods Approaches and Analysis” that was conducted in Yangon, Union of Myanmar from 11-15 May 2004. The purpose of the workshop was to develop and document mechanisms for training in livelihoods approaches and analysis, and to build national capacity to conduct livelihoods studies. The workshop in Yangon was the first STREAM event in Myanmar, with colleagues coming to participate from Yangon and many Divisions and States throughout the country. The workshop in Yangon was the fourth in a series, the first of which was held in Iloilo City, Philippines, in November 2003, the second in Ranchi, India, in February 2004, and the third in Vientiane, Lao PDR in March 2004. A subsequent workshop will take place in Yunnan, China. The objectives of the workshop were to: Understand issues of interest to people whose livelihoods include aquatic resources management, especially those with limited resources Build “(national) livelihoods teams” to do livelihoods analyses and training, and share their experiences with communities and other stakeholders Share understandings of livelihoods approaches and analysis using participatory methods Review current NACA-STREAM livelihoods analysis documentation, adapt and supplement, towards the drafting of a Guide for Livelihoods Analysis Experience the use of participatory tools for livelihoods analysis Plan activities for carrying out livelihoods analyses, and Consider how to build capacity in monitoring and evaluation (M&E) and “significant change”. (Pdf contains 56 pages).

El desempleo en la UE: una perspectiva de género

El presente Trabajo de Fin de Grado describe la evolución del desempleo en la Unión Europea desde una perspectiva de género.

La Garantía de Rentas Mínimas en el Estado Español. Especial Referencia al Caso de la RGI vasca

[ESP] En este trabajo se realiza un análisis del surgimiento de las rentas mínimas en la Unión Europea y el Estado español, para centrarnos en el caso del País Vasco, no solo porque es la realidad que mejor conocemos sino también porque representa la experiencia más avanzada en este territorio. En primer lugar, analizaremos la orientación de las políticas europeas en materia de garantía de rentas, así como su influencia en el modelo vasco. En segundo lugar, daremos cuenta de los niveles de protección proporcionados hoy día por la Renta de Garantía de Ingresos vasca así como del perfil de la población beneficiaria. Por último, realizamos una valoración crítica de algunas propuestas de revisión del sistema de garantía de rentas español, tanto por su significado intrínseco, como por su eventual repercusión en el sistema vasco de garantía de ingresos.