On universal Banach spaces of density continuum

We consider the question whether there exists a Banach space X of density continuum such that every Banach space of density at most continuum isomorphically embeds into X (called a universal Banach space of density c). It is well known that a""(a)/c (0) is such a space if we assume the continuum hypothesis. Some additional set-theoretic assumption is indeed needed, as we prove in the main result of this paper that it is consistent with the usual axioms of set-theory that there is no universal Banach space of density c. Thus, the problem of the existence of a universal Banach space of density c is undecidable using the usual axioms of set-theory. We also prove that it is consistent that there are universal Banach spaces of density c, but a""(a)/c (0) is not among them. This relies on the proof of the consistency of the nonexistence of an isomorphic embedding of C([0, c]) into a""(a)/c (0).

Research Training Program: Duke University and Brazilian Society of Cardiology

Background: Research coaching program focuses on the development of abilities and scientific reasoning. For health professionals, it may be useful to increase both the number and quality of projects and manuscripts. Objective: To evaluate the initial results and implementation methodology of the Research and Innovation Coaching Program of the Research on Research group of Duke University in the Brazilian Society of Cardiology. Methods: The program works on two bases: training and coaching. Training is done online and addresses contents on research ideas, literature search, scientific writing and statistics. After training, coaching favors the establishment of a collaboration between researchers and centers by means of a network of contacts. The present study describes the implementation and initial results in reference to the years 2011-2012. Results: In 2011, 24 centers received training, which consisted of online meetings, study and practice of the contents addressed. In January 2012, a new format was implemented with the objective of reaching more researchers. In six months, 52 researchers were allocated. In all, 20 manuscripts were published and 49 more were written and await submission and/or publication. Additionally, five research funding proposals have been elaborated. Conclusion: The number of manuscripts and funding proposals achieved the objectives initially proposed. However, the main results of this type of initiative should be measured in the long term, because the consolidation of the national production of high-quality research is a virtuous cycle that feeds itself back and expands over time. (Arq Bras Cardiol 2012;99(6):1075-1081)

Teachers' sick leave due to mental and behavioral disorders and return to work

This manuscript presents a review of the literature about medical leaves due to mental and behavioral disorders and return to work of teachers. There are scarce published manuscripts. Most articles relate with prevalence of mental disorders and factors associated with the work organization, and did not mention intervention proposals and or changes in the work organization and teaching work. Proposed actions are discussed.

Hypoellipticity in spaces of ultradistributions-Study of a model case

In this work we study C (a)-hypoellipticity in spaces of ultradistributions for analytic linear partial differential operators. Our main tool is a new a-priori inequality, which is stated in terms of the behaviour of holomorphic functions on appropriate wedges. In particular, for sum of squares operators satisfying Hormander's condition, we thus obtain a new method for studying analytic hypoellipticity for such a class. We also show how this method can be explicitly applied by studying a model operator, which is constructed as a perturbation of the so-called Baouendi-Goulaouic operator.

O canteiro do poeta-arquiteto: a conduta criativa de João Cabral de Melo Neto à luz de seus manuscritos

Neste artigo repensamos a metáfora do "poeta-engenheiro", ou "poeta-arquiteto", que geralmente caracteriza o processo criativo de João Cabral de Melo Neto, à luz de uma leitura genética de manuscritos de A educação pela pedra. Veremos que o "arquiteto" da metáfora provém da teoria de Le Corbusier, na qual o desenho (a concepção) determina o canteiro (a execução). No entanto, a análise de transformações de estruturas por meio de reformulações textuais nos manuscritos do poeta mostra que, por vezes, o projeto, ou intenção, se transforma nos trabalhos da página-canteiro.