Let L be a lattice ordered effect algebra. We prove that the lattice uniformities on L which make uniformly continuous the operations and ⊕ of L are uniquely determined by their system of neighborhoods 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
Lattice uniformities on effect algebras
AVALLONE, Anna
;VITOLO, Paolo
2005-01-01
Abstract
Let L be a lattice ordered effect algebra. We prove that the lattice uniformities on L which make uniformly continuous the operations and ⊕ of L are uniquely determined by their system of neighborhoods 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 LFile in questo prodotto:
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