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

• Hassani, Rachid Ameziane ^[1] ; Babahmed, Mohammed ^[2]
  1. [1] Sidi Mohamed Ben Abdellah University

     Sidi Mohamed Ben Abdellah University

     Fes-Medina, Marruecos

     
  2. [2] Abdelmalek Essaâdi University

     Abdelmalek Essaâdi University

     Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 20, Nº. 2, 2001, págs. 217-241
• Idioma: español
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• Resumen

  • 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.