Topology in lattices

Topology in lattices
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by Orrin Frink

Trans. Amer. Math. Soc. 51 (1942), 569-582

DOI: https://doi.org/10.1090/S0002-9947-1942-0006496-X

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References

Leon Alaoglu, Weak topologies of normed linear spaces, Ann. of Math. (2) 41 (1940), 252–267. MR 1455, DOI 10.2307/1968829

On the connectivity ring of a bicompact space

Ordered sets, complexes, and the problem of bicompactification

Topologie

Garrett Birkhoff, Lattice Theory, American Mathematical Society, New York, 1940. MR 0001959

On the structure of abstract algebras

Garrett Birkhoff, Moore-Smith convergence in general topology, Ann. of Math. (2) 38 (1937), no. 1, 39–56. MR 1503323, DOI 10.2307/1968508
Garrett Birkhoff, Hausdorff groupoids, Ann. of Math. (2) 35 (1934), no. 2, 351–360. MR 1503167, DOI 10.2307/1968437

Mengenlehre

Shizuo Kakutani, Weak topology, bicompact set and the principle of duality, Proc. Imp. Acad. Tokyo 16 (1940), 63–67. MR 2525

Lineare halbgeordnete Räume

R. L. Moore, Foundations of point set theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. XIII, American Mathematical Society, Providence, R.I., 1962. MR 0150722
M. H. Stone, The theory of representations for Boolean algebras, Trans. Amer. Math. Soc. 40 (1936), no. 1, 37–111. MR 1501865, DOI 10.1090/S0002-9947-1936-1501865-8
M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375–481. MR 1501905, DOI 10.1090/S0002-9947-1937-1501905-7
John W. Tukey, Convergence and Uniformity in Topology, Annals of Mathematics Studies, No. 2, Princeton University Press, Princeton, N. J., 1940. MR 0002515
A. Tychonoff, Über einen Funktionenraum, Math. Ann. 111 (1935), no. 1, 762–766 (German). MR 1513030, DOI 10.1007/BF01472255
Henry Wallman, Lattices and topological spaces, Ann. of Math. (2) 39 (1938), no. 1, 112–126. MR 1503392, DOI 10.2307/1968717