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The Lie algebra of a smooth manifold. (English) Zbl 0055.42105


Keywords:

topology
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[1] I. Gelfand and A. Kolmogoroff, On rings of continuous functions on topological spaces, C. R. (Doklady) Acad. Sci. URSS. vol. 22 (1939) pp. 11-15. · JFM 65.0500.03
[2] M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375 – 481. · Zbl 0017.13502
[3] Edwin Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 45 – 99. · Zbl 0032.28603
[4] L. E. Pursell, Algebraic structures associated with smooth manifolds, Thesis, Purdue University, 1952.
[5] C. Chevalley, Theory of Lie groups, Princeton, 1946. · Zbl 0063.00842
[6] Henri Cartan, Notions d’algèbre différentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson et Cie., Paris, 1951, pp. 15 – 27 (French). · Zbl 0045.30601
[7] M. E. Shanks, Rings of functions on locally compact spaces, Bull. Amer. Math. Soc. Abstract 57-4-365.
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