Monotone subnets in partially ordered sets

Monotone subnets in partially ordered sets
HTML articles powered by AMS MathViewer

by R. W. Hansell PDF

Proc. Amer. Math. Soc. 18 (1967), 854-858 Request permission

References

John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
S. R. Kogalovskiĭ, On a theorem of Frink, Uspehi Mat. Nauk 19 (1964), no. 2 (116), 143–145 (Russian). MR 0161808
S. R. Kogalovskiĭ, On linearly complete ordered sets, Uspehi Mat. Nauk 19 (1964), no. 2 (116), 147–150 (Russian). MR 0161809
Edward J. McShane, Order-preserving maps and integration processes, Annals of Mathematics Studies, No. 31, Princeton University Press, Princeton, N. J., 1953. MR 0056064
T. Naito, On a problem of Wolk in interval topologies, Proc. Amer. Math. Soc. 11 (1960), 156–158. MR 110653, DOI 10.1090/S0002-9939-1960-0110653-8
E. S. Wolk, Order-compatible topologies on a partially ordered set, Proc. Amer. Math. Soc. 9 (1958), 524–529. MR 96596, DOI 10.1090/S0002-9939-1958-0096596-8
E. S. Wolk, On partially ordered sets possessing a unique order-compatible topology, Proc. Amer. Math. Soc. 11 (1960), 487–492. MR 111706, DOI 10.1090/S0002-9939-1960-0111706-0
E. S. Wolk, Dedekind completeness and a fixed-point theorem, Canadian J. Math. 9 (1957), 400–405. MR 86788, DOI 10.4153/CJM-1957-047-5