• [T] Tychonoff, Über die topologische Erweiterungen von Raumen, Math. Ann. vol. 102 (1933) pp. 544-561.
• [A-H] Alexandroff-Hopf, Topologie, Berlin, Springer, 1935.
• [V. N] von Neumann, Regular rings, Proc. Nat. Acad. Sci. U.S.A. vol. 22 (1936) p. 707.
• [Ca] H. Cartan, Théorie des filtres, filtres et ultrafiltres, C. R. Acad. Sci. Paris vol. 205 (1937) pp. 595-777.
• [W] Weil, Sur les espaces uniformes et sur la topologie générale, Actualités Scientifique et Industrielles, no. 551, Paris, Hermann, 1937.
• [S] 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, https://doi.org/10.1090/S0002-9947-1937-1501905-7
• [C] Eduard Čech, On bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 823–844. MR 1503374, https://doi.org/10.2307/1968839
• [P] Bedřich Pospíšil, Remark on bicompact spaces, Ann. of Math. (2) 38 (1937), no. 4, 845–846. MR 1503375, https://doi.org/10.2307/1968840
• [Wa] Wallman, Lattices and bicompact spaces, Proc. Nat. Acad. Sci. U.S.A. vol. 23 (1937) pp. 164-165; Lattices and topological spaces, Ann. of Math. vol. 39 (1938) pp. 112-126.
• [D] J. Dieudonné, Sur les espaces uniformes complets, Ann. École Norm. 56 (1939), 277–291 (French). MR 0001343
• [A] Alexandroff, Bikompakte Erweiterungen topologischer Räume, Rec. Math. (Mat. Sbornik) N.S. vol 5 (1939) p. 420.
• [B] Bourbaki, Les structures fondamentales de l'analyse, vol. 1, Théorie des ensembles (fase, de résultats), Paris, Hermann, 1939; vol. 3, Topologie générale, Chaps. I and II, Structures topologiques; Structures uniformes, Paris, Hermann, 1940.
• [Tu] Tukey, Convergence and uniformity in topology, Princeton, 1940.
• [G] I. Gelfand, Normierte Ringe, Rec. Math. [Mat. Sbornik] N. S. 9 (51) (1941), 3–24 (German, with Russian summary). MR 0004726
• [G-S] I. Gelfand and G. Šilov, Über verschiedene Methoden der Einführung der Topologie in die Menge der maximalen Ideale eines normierten Ringes, Rec. Math. [Mat. Sbornik] N. S. 9 (51) (1941), 25–39 (German, with Russian summary). MR 0004729
• [L] Lefschetz, Algebraic topology, Amer. Math. Soc. Colloquium Publications, vol. 27, 1942.
• [J] N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. 67 (1945), 300–320. MR 0012271, https://doi.org/10.2307/2371731
• [J] N. Jacobson, A topology for the set of primitive ideals in an arbitrary ring, Proc. Nat. Acad. Sci. U. S. A. 31 (1945), 333–338. MR 0013138

Bibliography

[T]

Tychonoff, Über die topologische Erweiterungen von Raumen, Math. Ann. vol. 102 (1933) pp. 544-561.

[A-H]

Alexandroff-Hopf, Topologie, Berlin, Springer, 1935.

[V. N]

von Neumann, Regular rings, Proc. Nat. Acad. Sci. U.S.A. vol. 22 (1936) p. 707.

[Ca]

H. Cartan, Théorie des filtres, filtres et ultrafiltres, C. R. Acad. Sci. Paris vol. 205 (1937) pp. 595-777.

[W]

Weil, Sur les espaces uniformes et sur la topologie générale, Actualités Scientifique et Industrielles, no. 551, Paris, Hermann, 1937.

[S]

Stone, Applications of Boolean rings to general topology, Trans. Amer. Math. Soc. vol. 41 (1937) pp. 375, 481. MR 1501905

[C]

Čech, On bicompact spaces, Ann. of Math. vol. 38 (1937) pp. 823-844. MR 1503374

[P]

Pospíšil, A remark on bicompact spaces, Ann. of Math. vol. 38 (1937) pp. 845-846. MR 1503375

[Wa]

Wallman, Lattices and bicompact spaces, Proc. Nat. Acad. Sci. U.S.A. vol. 23 (1937) pp. 164-165; Lattices and topological spaces, Ann. of Math. vol. 39 (1938) pp. 112-126.

[D]

Dieudonné, Sur les espaces uniformes complets, Ann. École Norm. (3) vol. 56 (1939) pp. 277-291. MR 0001343 (1:220g)

[A]

Alexandroff, Bikompakte Erweiterungen topologischer Räume, Rec. Math. (Mat. Sbornik) N.S. vol 5 (1939) p. 420.

[B]

Bourbaki, Les structures fondamentales de l'analyse, vol. 1, Théorie des ensembles (fase, de résultats), Paris, Hermann, 1939; vol. 3, Topologie générale, Chaps. I and II, Structures topologiques; Structures uniformes, Paris, Hermann, 1940.

[Tu]

Tukey, Convergence and uniformity in topology, Princeton, 1940.

[G]

Gelfand, Normierte Ringe, Rec. Math. (Mat. Sbornik) N.S. vol. 9 (1941) pp. 3-24. MR 0004726 (3:51f)

[G-S]

Gelfand-Šilov, Über verschiedene Methoden der Einführung der Topologie in die Menge der maximalen Idealen eines normierten Ringes, Rec. Math. (Mat. Sbornik) N.S. vol. 9 (1941) pp. 25-39. MR 0004729 (3:52b)

[L]

Lefschetz, Algebraic topology, Amer. Math. Soc. Colloquium Publications, vol. 27, 1942.

[J]

Jacobson, Radical and semi-simplicity for arbitrary rings, Amer. J. Math. vol. 67 (1945) pp. 300-320. MR 0012271 (7:2f)

[J]

-, A topology for the set of primitive ideals in an arbitrary ring, Proc. Nat. Acad. Sci. U.S.A. vol. 31 (1945) pp. 333-337. MR 0013138 (7:110f)