Definable sets of Berkovich curves

In this article, we functorially associate definable sets to $k$-analytic curves, and definable maps to analytic morphisms between them, for a large class of $k$-analytic curves. Given a $k$-analytic curve $X$, our association allows us to have definable versions of several usual notions of Berkovich analytic geometry such as the branch emanating from a point and the residue curve at a point of type 2. We also characterize the definable subsets of the definable counterpart of $X$ and show that they satisfy a bijective relation with the radial subsets of $X$. As an application, we recover (and slightly extend) results of Temkin concerning the radiality of the set of points with a given prescribed multiplicity with respect to a morphism of $k$-analytic curves. In the case of the analytification of an algebraic curve, our construction can also be seen as an explicit version of Hrushovski and Loeser's theorem on iso-definability of curves. However, our approach can also be applied to strictly $k$-affinoid curves and arbitrary morphisms between them, which are currently not in the scope of their setting.Comment: 53 pages, 1 figure. v2: Section 7.2 on weakly stable fields added and other minor changes. Final version. To appear in Journal of the Institute of Mathematics of Jussie

Integration and Cell Decomposition in PP-minimal Structures

We show that the class of $\mathcal{L}$-constructible functions is closed under integration for any $P$-minimal expansion of a $p$-adic field $(K,\mathcal{L})$. This generalizes results previously known for semi-algebraic and sub-analytic structures. As part of the proof, we obtain a weak version of cell decomposition and function preparation for $P$-minimal structures, a result which is independent of the existence of Skolem functions. %The result is obtained from weak versions of cell decomposition and function preparation which we prove for general $P$-minimal structures. A direct corollary is that Denef's results on the rationality of Poincar\'e series hold in any $P$-minimal expansion of a $p$-adic field $(K,\mathcal{L})$.Comment: 22 page

An example of a PP-minimal structure without definable Skolem functions

We show there are intermediate $P$-minimal structures between the semi-algebraic and sub-analytic languages which do not have definable Skolem functions. As a consequence, by a result of Mourgues, this shows there are $P$-minimal structures which do not admit classical cell decomposition.Comment: 9 pages, (added missing grant acknowledgement

Estilos de aprendizaje como apertura a una enseñanza/aprendizaje asertiva de la segunda lengua

La educación del nuevo siglo ha venido brindando instrumentos y estrategias para obtener un proceso de enseñanza/aprendizaje más pertinente. La experiencia y el trabajo personal meha mostrado que los procesos que se desarrollan en distintos planteles educativos en la enseñanza de la lengua extrajera son evaluados y dirigidos bajo marcos de referencia de otros países en los cuales el inglés es su idioma nativo, pero en donde queda la descripción de las personas que están siendo formadas en este saber y su contexto social. Los estudiantes son seres totalmente distintos, ya que a pesar de compartir una misma nacionalidad el estilo de vida, de aprendizaje, la forma de hacer determinadas cosasson diferentes de acuerdo a su estilo de vida y formación de infancia. Así mismocada docente tiene un estilo propio de enseñar y/o enseñan de la misma manera a todos los grupos sin identificar las características del aprendizaje de cada uno de ellos

Factors Leading to Occupational Injuries and Illnesses among Hispanic Construction Workers in The United States: A Systematic Review

Background As the number of Hispanic migrants continues to increase in the United States, their representation in high risk jobs such as in the working industry is also on the rise. High rates of injuries and fatalities seem to disproportionately impact this minority group compared to construction workers from other racial groups. Some factors have been particularly involved in this trend without adequate addressed interventions from the U.S. government or construction employers. Objective The primary purpose of this study is to conduct a systematic review of research literature with regards to factors leading to occupational injuries and illnesses among Hispanic construction workers in the United States to better catalog the most common factors affecting this minority working population. Methods A literature search of the databases Global Health, Medline and PubMed was conducted. The author sought literature describing occupational factors or hazards among Hispanic construction workers in the U.S. Inclusion criteria included free full text and full text articles, studies conducted in the past 20 years, Hispanic or Latino construction workers in the United States as primarily studied population, reported occupational factors, and publications in English and Spanish. Exclusion criteria included articles without a full text, studies conducted more than 20 years ago, studies conducted in countries other than in the U.S., systematic reviews, and letters to the editor. Full texts were then reviewed by the author for applicability to the scope of the study, rejecting articles not meeting the inclusion criteria. Sixteen articles met all the criteria and were therefore included in this review. Results The most common reported factors or hazards were observed in seven articles including the lack of personal protective equipment (PPE) available for construction workers as well as fear of retaliation when demanding safe conditions. Other factors reported in 5 articles were the employers’ unsafe demands of productivity over safety, followed by no training in safety, and inadequate safety training reported in 4 articles. Conclusions Despite efforts by the U.S. government to reduce occupational injuries and fatalities among Hispanic construction workers, this specific minority group seems to experience unique risks while on the job. Results from this systematic review may contribute to the adoption of specific interventions and further research aimed at reducing occupational incidents and targeting regulatory and federal and state agencies, as well as employers, to better understand workplace hazards faced by Hispanic construction workers. The sharing of this information could result in a provision of healthier and safer work environments