Resumen de Topologies polaires compatibles avec une dualité séparante sur un corps value non-archiméedien

Rachid Ameziane Hassani, Mohammed Babahmed

• In this paper, we deal with polar topologies in separated dual pair hX, Y i of vector spaces over a non-archimedean valued field. We study compatible polar topologies, and we give some results characterizing specific subsets of X related to these topologies, especially if the field K is spherically complete or the compatible topology is polar or strongly polar. Furthermore, we investigate some topological properties in the duality hX, Y i such as barreldness and reflexivity.