A uniqueness result for topological groups
Abstract: We give a rapid proof of a general result which has an easy corollary that the -adic integers have a unique topology in which they are a complete separable metric group.
-  Lawrence Corwin, Uniqueness of topology for the 𝑝-adic integers, Proc. Amer. Math. Soc. 55 (1976), no. 2, 432–434. MR 0414773, https://doi.org/10.1090/S0002-9939-1976-0414773-1
-  K. Kuratowski, Topology. Vol. I, New edition, revised and augmented. Translated from the French by J. Jaworowski, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe, Warsaw, 1966. MR 0217751
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