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Dyadic subspaces of subgroups of topological groups

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Literature cited

  1. I. L. Ivanovskii, “On certain hypothesis of P. S. Aleksandrov,” Dokl. Akad. Nauk SSSR,123, No. 5, 785–786 (1958).

    Google Scholar 

  2. V. I. Kuz'minov, “On a hypothesis of P. S. Aleksandrov in the theory of topological groups,” Dokl. Akad. Nauk SSSR,125, No. 4, 727–729 (1959).

    Google Scholar 

  3. S. O. Sirota, “On spectral representation of the space of closed subsets of a bicompact set,” Dokl. Akad. Nauk SSSR,181, No. 5, 1069–1075 (1968).

    Google Scholar 

  4. L. B. Shapiro, “The space of closed subsets of Dℵ2 is not a dyadic bicompact set,” Dokl. Akad. Nauk SSSR,228, No. 6, 1302–1305 (1976).

    Google Scholar 

  5. Yu. V. Tsybenko, “Dyadicity of the space of subgroups,” IX Vsesoyus. Simp. po Teorii Grup, Tez. Dokl. Mosk. Pedag. Inst., 249–250, Moscow (1984).

    Google Scholar 

  6. C. Chabauty, “Limite d'ensembles at geometrie des numbers,” Bull. Soc. Math. France,78, 143–151 (1950).

    Google Scholar 

  7. I. V. Protasov, “Local theorems for topological groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,43, No. 6, 1430–1440 (1979).

    Google Scholar 

  8. P. S. Aleksandrov and B. A. Pasynkov, Introduction to the Theory of Dimension [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  9. I. V. Protasov and Yu. V. Tsybenko, “Connectivity in the space of subgroups,” Ukr. Mat. Zh.,35, No. 3, 382–385 (1983).

    Google Scholar 

  10. I. V. Protasov, “On duality of topological Abelian groups,” Ukr. Mat. Zh.,31, No. 3, 207–211 (1979).

    Google Scholar 

  11. I. V. Potrasov, “On the residues of subgroups of a profinite group group,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 11, 975–978 (1978).

    Google Scholar 

  12. O. V. Mel'nikov, “Normal divisors of free profinite groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 1, 3–25 (1978).

    Google Scholar 

  13. B. A. Efimov, “Dyadic bicompact sets,” Tr. Mosk. Mat. O-va.,14, 211–247 (1965).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 5, pp. 635–639, September–October, 1986.

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Tsybenko, Y.V. Dyadic subspaces of subgroups of topological groups. Ukr Math J 38, 542–545 (1986). https://doi.org/10.1007/BF01060948

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