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Order-compatible topologies on a partially ordered set


Author: E. S. Wolk
Journal: Proc. Amer. Math. Soc. 9 (1958), 524-529
MSC: Primary 06.00; Secondary 22.05
DOI: https://doi.org/10.1090/S0002-9939-1958-0096596-8
MathSciNet review: 0096596
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References [Enhancements On Off] (What's this?)

  • [1] R. G. Bartle, Nets and filters in topology, Amer. Math. Monthly vol. 62 (1955) pp. 551-557. MR 0073153 (17:391c)
  • [2] J. L. Kelley, General topology, Van Nostrand, 1955. MR 0070144 (16:1136c)
  • [3] E. J. McShane, Order-preserving maps and integration processes, Annals of Mathematics Studies vol. 31, Princeton, 1953. MR 0056064 (15:19g)
  • [4] E. S. Northam, The interval topology of a lattice, Proc. Amer. Math. Soc. vol. 4 (1953) pp. 825-827. MR 0057534 (15:244a)
  • [5] A. J. Ward, On relations between certain intrinsic topologies in partially ordered sets, Proc. Cambridge Philos. Soc. vol. 51 (1955) pp. 254-261. MR 0070995 (17:67b)

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DOI: https://doi.org/10.1090/S0002-9939-1958-0096596-8
Article copyright: © Copyright 1958 American Mathematical Society

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