Simultaneous lattice and topological completion of topological posets
Compositio Mathematica, Tome 30 (1975) no. 1, pp. 63-80.
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     author = {Miller, John Boris},
     title = {Simultaneous lattice and topological completion of topological posets},
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     pages = {63--80},
     publisher = {Noordhoff International Publishing},
     volume = {30},
     number = {1},
     year = {1975},
     mrnumber = {373974},
     zbl = {0319.54024},
     language = {en},
     url = {http://www.numdam.org/item/CM_1975__30_1_63_0/}
}
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Miller, John Boris. Simultaneous lattice and topological completion of topological posets. Compositio Mathematica, Tome 30 (1975) no. 1, pp. 63-80. http://www.numdam.org/item/CM_1975__30_1_63_0/

[1] B. Banaschewski: Über die Vervollständigung geordneter Gruppen. Math. Nachrichten 16 (1957) 51-71 | MR | Zbl

[2] G. Birkhoff: Lattice theory. (Amer. Math. Soc., Providence, 3rd ed. 1967). | MR | Zbl

[3] N. Cameron and J.B. Miller: Topology and axioms of interpolation in partially ordered spaces. J. für die reine u. angewandte Math. (to appear). | MR | Zbl

[4] L. Fuchs: Partially ordered algebraic systems. (Pergamon, 1963). | MR | Zbl

[5] R.J. Loy and J.B. Miller: Tight Riesz groups. J. Australian Math. Soc. 13 (1972) 224-240. | MR | Zbl

[6] H.M. Macneille: Partially ordered sets. Trans Amer. Soc. 42 (1937) 416-460. | JFM | MR | Zbl

[7] A.L. Peressini: Ordered topological vector spaces. (Harper and Row, New York, 1967). | MR | Zbl

[8] R.H. Redfield: Ordering uniform completions of partially ordered sets. Canadian J. Math. 26 (1974) 644-664. | MR | Zbl

[9] R.H. Redfield: Uniform subcompletions of Dedekind completions. (preprint, Simon Fraser University, Burnaby, B.C.)

[10] N.R. Reilly: Representations of ordered groups with compatible tight Riesz orders. J. Aust. Math. Soc. (to appear). | MR | Zbl

[11] P. Ribenboim: Théorie des groupes ordonnés. (Universidad Nacional del Sur, Bahia Blanca, 1960). | MR | Zbl

[12] B.F. Sherman: Cauchy completion of partially ordered groups. J. Aust. Math. Soc. (to appear). | MR | Zbl

[13] A. Weil: Sur les espaces à structure uniforme et sur la topologie générale. Actualités Sci. Ind. 551 (Paris, 1937). | JFM | Zbl