A note on locally v-bounded spaces


  • D. N. Georgiou University of Patras
  • Stavros Iliadis University of Patras




Strong Scott topology, Strong Isbell topology, Function space, Admissible topology


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.


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Author Biographies

D. N. Georgiou, University of Patras

Department of Mathematics

Stavros Iliadis, University of Patras

Department of Mathematics


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How to Cite

D. N. Georgiou and S. Iliadis, “A note on locally v-bounded spaces”, Appl. Gen. Topol., vol. 6, no. 2, pp. 143–148, Oct. 2005.



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