No abstract

We provide a description of the fundamental group of the quotient of a product of topological spaces X i, each admitting a universal cover, by a finite group G, provided that there is only a finite number of path-connected components in X g i for every g ∈ G. This generalizes previous work of Bauer-Catanese-Grunewald-Pignatelli and Dedieu-Perroni. Nous fournissons une description du groupe fondamental du quotient d’un produitd’espaces topologiques Xi , chacun admettant un revêtement universel, par un groupe fini G,pourvu qu’il n’existe qu’un nombre ni de composantes connexes par arcs dans Xgi pour chaque g ∈ G. Cela généralise des résultats antérieurs de Bauer–Catanese–Grunewald–Pignatelli et deDedieu–Perroni.

We show that if X is a smooth complex quasi-projective manifold the quasi-Albanese map of which is proper, then the torsionfree nilpotent quotients of π 1 (X) are the same ones as those of the Stein factorisation of its quasi-Albanese image. When X is quasi-Kähler smooth, we get the same conclusion, but only for the smooth models of the Stein factorisation. The proof is then completely similar to the completely elementary one given in [6] for X compact.This implies in the quasi-projective case that the étale Galois cover of X associated to the nilpotent completion of π 1 (X) is holomorphically convex. This last result is proved in the quasiprojective case by 3 other methods in [14], which motivated the present text.When X is 'special' in the sense of [8], we deduce that the torsion free nilpotent quotients of π 1 (X) are abelian, and show by examples that this property fails (as first observed in [5]) when the quasi-Albanese map is not proper. This leads to revise our previous 'Abelianity conjecture', and replace it by an 'Nilpotency conjecture' in the quasi-Kähler context.

La presente investigación se desarrolló con el propósito de determinar el impacto del inadecuado uso de residuos sólidos en la contaminación ambiental del distrito de Julcan, Perú. Se trabajó con una muestra de 70 viviendas; así mismo se ha empleado dos cuestionarios confiables y debidamente validados para la recolección de datos de las variables en estudio y se procesó la información a través del software de estadística para ciencias sociales (SPSS V23). Se concluyó que el inadecuado uso de residuos sólidos impacta en la contaminación ambiental según el coeficiente de contingencia del estadístico de prueba Tau-b de Kendall es -0,180, con un nivel de significancia menor al 5% de significancia estándar (P= 0,042 < 0,05), asimismo observamos que el estadístico Rho de Spearman es -0,252, con un nivel de significancia menor al 5% de significancia estándar (P= 0,045 < 0,05).Palabras clave: reciclaje; nivel de vida; generación de residuos sólidos; materia orgánica.

We provide a description of the fundamental group of the quotient of a product of topological spaces X i , each admitting a universal cover, by a finite group G, provided that there is only a finite number of path-connected components in X g i for every g ∈ G. This generalizes previous work of Bauer-Catanese-Grunewald-Pignatelli and Dedieu-Perroni.