First Micromorphological Studies Of Brazilian Sambaquis, Jabuticabeira II Site, Santa Catarina State

First Micromorphological Studies of Brazilian Sambaquis, Jabuticabeira II Site, Santa Catarina State. In this note, preliminary results from the micromorphological study of the fish mound that covers the Jabuticabeira II sambaqui site, developed within the interdisciplinary research project Sambaquis e paisagem, are presented. Microstratigraphic analyses enabled the identification of anthropic pre-depositional processes that participated in the formation of this large structure, related to the burning and transport of mineral and organic material (terrigenous sand and charcoal) and inorganic residues of biological origin (bones, phytoliths, diatoms and siliceous aggregates). The effects of post-depositional alterations over these particles can be observed through dissolution traces in bone and the formation of a fine mineral material of phosphatic composition. The articulation of the evidence confirms the complex combination of activities and alteration processes involved in the formation of sambaqui sites, which transcends traditional functional dichotomies.

Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations

In this paper we study the continuity of invariant sets for nonautonomous infinite-dimensional dynamical systems under singular perturbations. We extend the existing results on lower-semicontinuity of attractors of autonomous and nonautonomous dynamical systems. This is accomplished through a detailed analysis of the structure of the invariant sets and its behavior under perturbation. We prove that a bounded hyperbolic global solutions persists under singular perturbations and that their nonlinear unstable manifold behave continuously. To accomplish this, we need to establish results on roughness of exponential dichotomies under these singular perturbations. Our results imply that, if the limiting pullback attractor of a nonautonomous dynamical system is the closure of a countable union of unstable manifolds of global bounded hyperbolic solutions, then it behaves continuously (upper and lower) under singular perturbations.

BANACH SPACES WITHOUT MINIMAL SUBSPACES - EXAMPLES

We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in [11], by classifying them according to which side of the dichotomies they fall.