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Ward, L. E. jun.

Partially ordered topological spaces. (English) Zbl 0055.16101

Proc. Am. Math. Soc. 5, 144-151 (1954).
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Cited in 65 Documents

Keywords:

topology
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References:

[1] Garrett Birkhoff, Lattice Theory, American Mathematical Society Colloquium Publications, vol. 25, revised edition, American Mathematical Society, New York, N. Y., 1948. · Zbl 0033.10103
[2] Samuel Eilenberg, Ordered topological spaces, Amer. J. Math. 63 (1941), 39 – 45. · Zbl 0024.19203 · doi:10.2307/2371274
[3] Orrin Frink Jr., Topology in lattices, Trans. Amer. Math. Soc. 51 (1942), 569 – 582. · Zbl 0061.39305
[4] A. Haar and D. König, Über einfach geordnete Mengen, J. Reine Angew. Math. vol. 139 (1910) pp. 16-28. · JFM 41.0101.06
[5] J. L. Kelley, Convergence in topology, Duke Math. J. 17 (1950), 277 – 283. · Zbl 0038.27003
[6] Leopoldo Nachbin, Sur les espaces topologiques ordonnés, C. R. Acad. Sci. Paris 226 (1948), 381 – 382 (French). · Zbl 0030.37301
[7] Leopoldo Nachbin, Linear continuous functionals positive on the increasing continuous functions, Summa Brasil. Math. 2 (1951), 135 – 150.
[8] -, Topologia e Ordem, Chicago, 1950.
[9] G. E. Schweigert, Fixed elements and periodic types for homeomorphisms on s.l.c. continua, Amer. J. Math. 66 (1944), 229 – 244. · Zbl 0063.08330 · doi:10.2307/2371984
[10] A. D. Wallace, A fixed-point theorem, Bull. Amer. Math. Soc. 51 (1945), 413 – 416. · Zbl 0060.40104
[11] A. D. Wallace, Monotone transformations, Duke Math. J. 9 (1942), 487 – 506. · Zbl 0060.40103
[12] A. D. Wallace, Endelements and the inversion of continua, Duke Math. J. 16 (1949), 141 – 144. · Zbl 0039.18705
[13] L. E. Ward, Jr., Binary relations in topological spaces, to appear.
[14] Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, v. 28, American Mathematical Society, New York, 1942. · Zbl 0061.39301
[15] Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, vol. 32, American Mathematical Society, New York, N. Y., 1949. · Zbl 0039.39602
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