Lattice uniformities on pseudo-D-lattices
Anna Avallone, Paolo Vitolo · Mathematica Slovaca · 2012
Abstract Let L be a pseudo-D-lattice. We prove that the lattice uniformities on L which make uniformly continuous the operations of L are uniquely determined by their system of neighbourhoods of 0 and form a distributive lattice. Moreover we prove that every such uniformity is generated by a family of weakly subadditive [0,+∞]-valued functions on L.