A note on locally v-bounded spaces

• Georgiou, D.N. ^[1] ; Iliadis, S.D. ^[1]
  1. [1] University of Patras

     University of Patras

     Dimos Patras, Grecia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 6, Nº. 2, 2005, págs. 143-148
• Idioma: inglés
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• Resumen

  • In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ8v,  where v is an infinite cardinal. This topology defines on the set C(Y,Z) of all continuous functions on the space Y to a space Z a topology τ8v. The topology τ8v, is always larger than or equal to the strong Isbell topology. We study the topology τ8v in the case where Y is a locally v-bounded space.