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Complete distributivity and alpha-convergence. (English) Zbl 0466.06017

MSC:
 06F15 Ordered groups 06F30 Ordered topological structures 22A26 Topological semilattices, lattices and applications 06D10 Complete distributivity 22A30 Other topological algebraic systems and their representations
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References:
 [1] G. Birkhoff: Lattice Theory. (third edition), Amer. Math. Soc., Providence, Rhode Island, 1967. · Zbl 0153.02501 [2] R. D. Byrd: Complete distributivity in lattice-ordered groups. Pac. J. Math. 20 (1967), 423-432. · Zbl 0178.02902 [3] R. D. Byrd, J. T. Lloyd: Closed subgroups and complete distibrutivity in lattice-ordered groups. Math. Zeitschr. 101 (1967), 123-130. · Zbl 0178.02902 [4] J. Ellis: Unpublished doctoral dissertation, Tulane University, New Orleans, Louisiana, 1968. · Zbl 0205.29101 [5] J. Flachsmeyer: On Dini convergence in function spaces. DAN SSSR. 152 (1963), 1071-74. [6] E. E. Floyd: Boolean algebras with pathological order properties. Pac. J. Math. 5 (1965), 687-689. · Zbl 0065.26603 [7] L. Fuchs: Partially Ordered Algebraic Systems. Pergamon Press (Addison-Wesley), New York, 1963. · Zbl 0137.02001 [8] J. Jakubík: The interval topology of an $$l$$-group. Colloq. Math. XI (1963), 65-72. · Zbl 0122.28002 [9] J. L. Kelly: General Topology. Van Nostrand Press, Princeton, 1955. [10] R. L. Madell: Embeddings of topological lattice ordered groups. Trans. Amer. Math. Soc. 146 (1969), 447-455. · Zbl 0192.36203 [11] F. Papangelou: Order convergence and topological completion of commutative lattice groups. Math. Annalen 155 (1964), 81-107. · Zbl 0131.02601 [12] F. Papangelou: Some considerations on convergence in abelian lattice groups. Pacific J. Math. 15 (1965), 1347-65. · Zbl 0146.04802
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