A Counterexample to the Generalized Ho Zhao Problem

  •  Ahmad Alghoussein    
  •  Abdulkader Sheikh Ibrahim    


In this paper we find the answer to the open question in (Ho & Zhao, 2009), which states that we do not know whether the isomorphism of complete lattices  and  implies that of the dcpo’s  and , where  and  are the lattices of all Scott closed subsets of  and  respectively. We proved that is not necessarily satisfied in general case.

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