The surjectivity of the Borel mapping in the mixed setting for ultradifferentiable ramification spaces

We consider r-ramification ultradifferentiable classes, introduced by J. Schmets and M. Valdivia in order to study the surjectivity of the Borel map, and later on also exploited by the authors in the ultraholomorphic context. We characterize quasianalyticity in such classes, extend the results of Schmets and Valdivia about the image of the Borel map in a mixed ultradifferentiable setting, and obtain a version of the Whitney extension theorem in this framework.Comment: 31 pages; this version has been accepted for publication in Monatsh. Mat

Una diatriba historiográfica en torno al padre Luis de Valdivia, S.I. (1876-1914)

Este trabajo analiza los documentos que posee el Archivo del Colegio de San Ignacio de Santiago de Chile sobre la polémica que enfrentó a Crescente Errázuriz con los padres Zoilo Villalón, S.I., y Pablo Hernández, S.I., acerca de Luis de Valdivia y la Guerra Defensiva. En esta polémica, Errázuriz venció a los historiadores jesuitas y creó una nueva imagen de Valdivia, que contrastaba con las representaciones anteriores de la época colonial.This paper analyzes documents from the Archive of Colegio de San Ignacio of Santiago de Chile from the debate between Crescente Errázuriz and Fathers Zoilo Villalón, S.J., and Pablo Hernández, S.J., regarding Luis de Valdivia and the Defensive War. In this polemic Errázuriz defeated the Jesuit historians and created a new image of Valdivia that differed from earlier representations from the colonial era

Gas Hydrate and Free Gas Concentrations in Two Sites inside the Chilean Margin (Itata and Valdivia Offshores)

Two sectors, Itata and Valdivia, which are located in the Chilean margin were analysed by using seismic data with the main purpose to characterize the gas hydrate concentration. Strong lateral velocity variations are recognised, showing a maximum value in Valdivia offshore (2380 ms−1 above the BSR) and a minimum value in the Itata offshore (1380 m·s−1 below the BSR). In both of the sectors, the maximum hydrate concentration reaches 17% of total volume, while the maximum free gas concentration is located Valdivia offshore (0.6% of total volume) in correspondence of an uplift sector. In the Itata offshore, the geothermal gradient that is estimated is variable and ranges from 32 °C·km−1 to 87 °C·km−1, while in Valdivia offshore it is uniform and about 35 °C·km−1. When considering both sites, the highest hydrate concentration is located in the accretionary prism (Valdivia offshore) and highest free gas concentration is distributed upwards, which may be considered as a natural pathway for lateral fluid migration. The results that are presented here contribute to the global knowledge of the relationship between hydrate/free gas presence and tectonic features, such as faults and folds, and furnishes a piece of the regional hydrate potentiality Chile offshore

Valdivia compact Abelian groups

Let R denote the smallest class of compact spaces containing all metric compacta and closed under limits of continuous inverse sequences of retractions. Class R is striclty larger than the class of Valdivia compact spaces. We show that every compact connected Abelian group which is a topological retract of a space from class R is necessarily isomorphic to a product of metric groups. This completes the result of V. Uspenskij and the author, where a compact connected Abelian group outside class R has been described.Comment: Second version with some corrections; 6 page