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Embeddings of topological lattice-ordered groups. (English) Zbl 0192.36203


Keywords:

group theory
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[1] Lee W. Anderson, Topological lattices and \?-cells, Duke Math. J. 25 (1958), 205 – 208. · Zbl 0081.02504
[2] Lee W. Anderson, On the breadth and co-dimension of a topological lattice, Pacific J. Math. 9 (1959), 327 – 333. · Zbl 0086.02901
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[4] L. W. Anderson, The existence of continuous lattice homomorphisms, J. London Math. Soc. 37 (1962), 60 – 62. · Zbl 0104.25902 · doi:10.1112/jlms/s1-37.1.60
[5] L. W. Anderson and L. E. Ward Jr., A structure theorem for topological lattices, Proc. Glasgow Math. Assoc. 5 (1961), 1 – 3. · Zbl 0098.25801
[6] Garrett Birkhoff, Lattice-ordered Lie groups, Festschrift zum 60. Geburtstag von Prof. Dr. Andreas Speiser, Füssli, Zürich, 1945, pp. 209 – 217. · Zbl 0061.04703
[7] -, Lattice theory, 3rd ed., Amer. Math. Soc. Colloq. Publ., Vol. 25, Providence, R. I., 1967.
[8] Richard D. Byrd, Complete distributivity in lattice-ordered groups, Pacific J. Math. 20 (1967), 423 – 432. · Zbl 0158.03303
[9] Richard D. Byrd and Justin T. Lloyd, Closed subgroups and complete distributivity in lattice-ordered groups, Math. Z. 101 (1967), 123 – 130. · Zbl 0178.02902 · doi:10.1007/BF01136029
[10] Haskell Cohen, A cohomological definition of dimension for locally compact Hausdorff spaces, Duke Math. J. 21 (1954), 209 – 224. · Zbl 0058.16605
[11] Paul Conrad, The structure of a lattice-ordered group with a finite number of disjoint elements, Michigan Math. J 7 (1960), 171 – 180. · Zbl 0103.01501
[12] J. Ellis, Group topological convergence in completely distributive lattice ordered groups, Doctoral dissertation, Tulane Univ., New Orleans, La., 1968.
[13] L. Fuchs, Partially ordered algebraic systems, Pergamon Press, Oxford-London-New York-Paris; Addison-Wesley Publishing Co., Inc., Reading, Mass.-Palo Alto, Calif.-London, 1963. · Zbl 0137.02001
[14] J. D. Lawson, Vietoris mappings and embeddings of topological semilattices, Doctoral dissertation, The Univ. of Tennessee, Knoxville, 1967.
[15] R. L. Madell, Topological lattice ordered groups, Doctoral dissertation, The Univ. of Wisconsin, Madison, 1968. · Zbl 0192.36203
[16] R. L. Madell, On complete distributivity and \( \alpha \)-convergence (to appear). · Zbl 0466.06017
[17] L. Pontriagin, Topological groups, Princeton Univ. Press, Princeton, N. J., 1939. · JFM 61.1217.01
[18] B. Šmarda, Topologies in \?-groups, Arch. Math. (Brno) 3 (1967), 69 – 81. · Zbl 0224.06013
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