• A categorical study of compactness via closure 

      Van Coller, Henry (Stellenbosch : Stellenbosch University, 2009-03)
      We have the familiar Kuratowski-Mr owka theorem in topology, where compactness is characterised by a closure and a projection-map (X is compact i p : X Y ! Y is a closed mapping, for any space Y , i.e. p(A) = p(A) A ...
    • Hyperconvex metric spaces 

      Razafindrakoto, Ando Desire (Stellenbosch : University of Stellenbosch, 2010-03)
      ENGLISH ABSTRACT: One of the early results that we encounter in Analysis is that every metric space admits a completion, that is a complete metric space in which it can be densely embedded. We present in this work a new ...