Order convergence in lattices

DOI10.1216/RMJ-1980-10-4-805zbMath0432.06008OpenAlexW1995494437MaRDI QIDQ1138565

Marcel Erné, Sibylle Weck

Publication date: 1980

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1980-10-4-805

zbMATH Keywords

idealsorder topologyconoidsinterval filtersneighbourhood filterorder convergence in latticesorder limitsray filter

Mathematics Subject Classification ID

Partial orders, general (06A06) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Lattice ideals, congruence relations (06B10) Topological lattices (06B30) Ordered topological structures (06F30)

Related Items (8)

Order-topological complete orthomodular lattices ⋮ STATES, UNIFORMITIES AND METRICS ON LATTICE EFFECT ALGEBRAS ⋮ Almost orthogonality and Hausdorff interval topologies of De Morgan lattices and lattice effect algebras ⋮ Almost orthogonality and Hausdorff interval topologies of atomic lattice effect algebras ⋮ Block-finite atomic orthomodular lattices ⋮ Unnamed Item ⋮ Generalized continuous closure spaces. I: Meet preserving closure operations ⋮ Convergence structures induced by scales

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