Sobre la convergencia en el Grassmaniano

• Villavicencio, Helmuth ^[1]
  1. [1] Universidad Nacional de Ingeniería

     Universidad Nacional de Ingeniería

     Perú

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 7, Nº. 1, 2020 (Ejemplar dedicado a: January - July), págs. 115-122
• Idioma: español
• DOI: 10.17268/sel.mat.2020.01.10
• Títulos paralelos:
  • On the convergence on the Grassmannian
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    En este trabajo, presentamos una caracterización de la convergencia sobre el grassmaniano de orden n que nos permite probar de manera directa que este conjunto es compacto y que todo fibrado vectorial es medible. Finalmente obtenemos un criterio para inducir fibrados medibles.

  • English

    In this paper, we present a characterization of the convergence on the n-th order Grassmannian that permits us to show in a direct way that this set is compact and every vector bundle is measurable. Finally, we obtain a criterion to induce measurable bundles.

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