References
Aronszajn, Caractérisation métrique de l'espace de Hilbert, des espaces vectoriels et de certains groupes métriques. C. R. Paris, 201 (1935), pp. 811–813, 873–875.
Bing, Partitioning a set, Bull. Amer. Math. Soc. 55 (1949), pp. 1101–1110.
Bonnesen-Fenchel, Konvexe Körper, Berlin 1934.
Bourbaki, Topologie générale, Chap. I, II, Paris 1940.
Chevalley, Theory of Lie groups, I, Princeton 1946.
Gleason, Arcs in locally compact groups, Proc. Nat. Acad. Sci. USA. 36 (1950), pp. 663–667.
Hausdorff, Mengenlehre, Berlin Leipzig 1927.
van Kampen, The structure of a compact connected group, Amer. J. Math. 57 (1935), pp. 301–308.
Menger, Untersuchungen über allgemeine Metrik, I, II, III, Math. Ann. 100 (1928), pp. 75–163.
Moïse, Grilledecomposition and convexification theorems for compact metric locally connected continua, Bull. Amer. Math. Soc. 55 (1949), pp. 1111–1121.
Pontrjagin, Topological groups, Princeton 1939.
Weil, L'intégration dans les groupes topologiques et ses applications, Paris 1940.
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Rådström, H. Convexity and norm in topological groups. Ark. Mat. 2, 99–137 (1952). https://doi.org/10.1007/BF02590879
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DOI: https://doi.org/10.1007/BF02590879