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Topologies on products of partially ordered sets. III: Order convergence and order topology. (English) Zbl 0477.06015


MSC:

06F30 Ordered topological structures
06B30 Topological lattices
06A06 Partial orders, general
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
54H12 Topological lattices, etc. (topological aspects)
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
06B10 Lattice ideals, congruence relations
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References:

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[9] A. J. Ward,On relations between certain intrinsic topologies in partially ordered sets, Proc. Cambridge Phil. Soc.51 (1955), 254–261. · Zbl 0066.02101
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