A comparison of two modes of order convergence
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- by J. C. Mathews and R. F. Anderson
- Proc. Amer. Math. Soc. 18 (1967), 100-104
- DOI: https://doi.org/10.1090/S0002-9939-1967-0203675-6
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References
- Garrett Birkhoff, Lattice Theory, American Mathematical Society, New York, 1940. MR 0001959 —, Lattice theory, rev. ed., Amer. Math. Soc. Colloq. Publ., Vol. 25, Amer. Math. Soc., Providence, R. I., 1961.
- Orrin Frink Jr., Topology in lattices, Trans. Amer. Math. Soc. 51 (1942), 569–582. MR 6496, DOI 10.1090/S0002-9947-1942-0006496-X
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
- Henry Löwig, Intrinsic topology and completion of Boolean rings, Ann. of Math. (2) 42 (1941), 1138–1196. MR 6494, DOI 10.2307/1970464
- Edward J. McShane, Order-preserving maps and integration processes, Annals of Mathematics Studies, No. 31, Princeton University Press, Princeton, N. J., 1953. MR 0056064
- B. C. Rennie, Lattices, Proc. London Math. Soc. (2) 52 (1951), 386–400. MR 690634, DOI 10.1112/plms/s2-52.5.386
- A. J. Ward, On relations between certain intrinsic topologies in partially ordered sets, Proc. Cambridge Philos. Soc. 51 (1955), 254–261. MR 70995, DOI 10.1017/s0305004100030176
- E. S. Wolk, On order-convergence, Proc. Amer. Math. Soc. 12 (1961), 379–384. MR 136562, DOI 10.1090/S0002-9939-1961-0136562-7
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 100-104
- MSC: Primary 54.22
- DOI: https://doi.org/10.1090/S0002-9939-1967-0203675-6
- MathSciNet review: 0203675