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Invariant metrics in groups. (Solution of a problem of Banach.). (English) Zbl 0047.02902


Keywords:

group theory
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References:

[1] Stefan Banach, Théorie des opérations linéaires, Warsaw, 1932. · Zbl 0005.20901
[2] Garrett Birkhoff, A note on topological groups, Compositio Math. 3 (1936), 427 – 430.
[3] D. van Dantzig, Zur topologischen Algebra, I, Math. Ann. vol. 107 (1932) pp. 587-616. · Zbl 0006.00704
[4] Jean Dieudonné, Sur la complétion des groupes topologiques, C. R. Acad. Sci. Paris 218 (1944), 774 – 776 (French). · Zbl 0061.04205
[5] Shizuo Kakutani, Über die Metrisation der topologischen Gruppen, Proc. Imp. Acad. 12 (1936), no. 4, 82 – 84 (German). · Zbl 0015.00701
[6] -, Über ein Metrisationproblem, Proceedings of the Physico-Mathematical Society of Japan (III) vol. 20 (1938) pp. 85-90.
[7] G. G. Lorentz, Operations in linear metric spaces, Duke Math. J. 15 (1948), 755 – 761. · Zbl 0031.16602
[8] S. Mazur and L. Sternbach, Über die Borelschen Typen von linearen Mengen, Studia Math. vol. 4 (1933) pp. 48-53. · Zbl 0008.31503
[9] W. Sierpinski, Sur les ensembles complets d’un espace (D), Fund. Math. vol. 11 (1928) pp. 203-205.
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