Trees, lattices, order, and betweenness
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- Proc. Amer. Math. Soc. 3 (1952), 369-381 Request permission
References
- W. D. Duthie, Segments of ordered sets, Trans. Amer. Math. Soc. 51 (1942), 1–14. MR 7032, DOI 10.1090/S0002-9947-1942-0007032-4 Dénes König, Theorie der endlichen and unendlichen Graphen, Leipzig, 1936.
- Garrett Birkhoff, Lattice Theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. 25, American Mathematical Society, New York, N. Y., 1948. MR 0029876
- Everett Pitcher and M. F. Smiley, Transitives of betweenness, Trans. Amer. Math. Soc. 52 (1942), 95–114. MR 7099, DOI 10.1090/S0002-9947-1942-0007099-3
- Martin Altwegg, Zur Axiomatik der teilweise geordneten Mengen, Comment. Math. Helv. 24 (1950), 149–155 (German). MR 37279, DOI 10.1007/BF02567030
- Marlow Sholander, Postulates for distributive lattices, Canad. J. Math. 3 (1951), 28–30. MR 38942, DOI 10.4153/cjm-1951-003-5
Additional Information
- © Copyright 1952 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 3 (1952), 369-381
- MSC: Primary 09.1X
- DOI: https://doi.org/10.1090/S0002-9939-1952-0048405-5
- MathSciNet review: 0048405