01374nas a2200109 4500008004100000245006700041210006500108520101700173100002101190700002001211856003301231 2004 eng d00aA cartesian closed category of approximable concept structures0 acartesian closed category of approximable concept structures3 aInfinite contexts and their corresponding lattices are of theoretical and practical interest since they may offer connections with and insights from other mathematical structures which are normally not restricted to the finite cases. In this paper we establish a systematic connection between formal concept analysis and domain theory as a categorical equivalence, enriching the link between the two areas as outlined in [25]. Building on a new notion of approximable concept introduced by Zhang and Shen [26], this paper provides an appropriate notion of morphisms on formal contexts and shows that the resulting category is equivalent to (a) the category of complete algebraic lattices and Scott continuous functions, and (b) a category of information systems and approximable mappings. Since the latter categories are cartesian closed, we obtain a cartesian closed category of formal contexts that respects both the context structures as well as the intrinsic notion of approximable concepts at the same time.1 aZhang, Guo-Qiang1 aHitzler, Pascal uhttp://knoesis.org/node/1194