A discrete duality between apartness algebras and apartness frames

نویسندگان

  • Ivo Düntsch
  • Ewa Orlowska
چکیده

Apartness spaces were introduced as a constructive counterpart to proximity spaces which, in turn, aimed to model the concept of nearness of sets in a metric or topological environment. In this paper we introduce apartness algebras and apartness frames intended to be abstract counterparts to the apartness spaces of Bridges and Vîta [3], and we prove a discrete duality for them.

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عنوان ژورنال:
  • Journal of Applied Non-Classical Logics

دوره 18  شماره 

صفحات  -

تاریخ انتشار 2008