On a property of the one-dimensional torus

D. Dikranjan; N. Rodinò

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 69, page 277-288
  • ISSN: 0041-8994

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Dikranjan, D., and Rodinò, N.. "On a property of the one-dimensional torus." Rendiconti del Seminario Matematico della Università di Padova 69 (1983): 277-288. <http://eudml.org/doc/107901>.

@article{Dikranjan1983,
author = {Dikranjan, D., Rodinò, N.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {minimal Hausdorff topological group},
language = {eng},
pages = {277-288},
publisher = {Seminario Matematico of the University of Padua},
title = {On a property of the one-dimensional torus},
url = {http://eudml.org/doc/107901},
volume = {69},
year = {1983},
}

TY - JOUR
AU - Dikranjan, D.
AU - Rodinò, N.
TI - On a property of the one-dimensional torus
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 69
SP - 277
EP - 288
LA - eng
KW - minimal Hausdorff topological group
UR - http://eudml.org/doc/107901
ER -

References

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  1. [B] B. Banaschewski, Minimal topological algebras, Math. Ann., 211 (1974), pp. 107-114. Zbl0275.46043MR357520
  2. [D1] D. Dikranjan, A topological characterization of p-adic numbers and an application to minimal Galois extensions (to appear). Zbl0624.22004
  3. [D2] D. Dikranjan, Minimal topologies on divisible Abelian groups (to appear). 
  4. [D3] D. Dikranjan, On a class of finite-dimensional compact Abelian groups (manuscript). 
  5. [DP] D. Dikranjan - Iv. Prodanov, A class of compact Abelian groups, Ann. de l'Univ. de Sofia, Fac. de Math., 70 (1975-1976), pp. 191-206. Zbl0488.22003MR649305
  6. [DS] D. Dikranjan - L. Stojanov, Criterion for minimality of all subgroups of a topological Abelian group, Comp. Rend. de l'Acad. Bulg. Sci., 34, no. 5 (1981), pp. 635-638. Zbl0478.22003MR638902
  7. [Do] Doitchinov, Produits de groupes topologiques minimaux, Bull. Sci. Math., 97 (1972), pp. 59-64. Zbl0236.22002MR308323
  8. [HR] E. Hewitt - K. Ross, Abstract harmonic analysis, Springer-Verlag, 1963. Zbl0115.10603
  9. [M] A. Mutylin, Completely simple topological commutative rings (in Russian), Mat. Zametki, 5 (1969), pp. 161-171. Zbl0316.13013MR242905
  10. [P1] Iv. Prodanov, Precompact minimal group topologies on Abelian groups, Comp. Rend. de l'Acad. Bulg. de Sci., 26 (1973), pp. 1287-1288. Zbl0323.22004MR330341
  11. [P2] Iv. Prodanov, Precompact minimal group topologies and p-adic numbers, Ann. de l'Univ. de Sofia, Fac. de Math., 66 (1971-1972), pp. 249-266. Zbl0329.22002MR412323
  12. [P3] Iv. Prodanov, Minimal topologies on countable Abelian groups, Ann. de l'Univ de Sofia, Fac. de Math., 70 (1975-1976). Zbl0488.22004MR649300
  13. [P4] Iv. Prodanov, Minimal and maximal topologies on Abelian groups, Colloq. Math. Soc. János Bolyai23, Topology, Budapest (Hungary), 1978, pp. 985-997. Zbl0452.22002MR588846
  14. [P5] Iv. Prodanov, Some minimal group topologies are precompact, Math. Ann., 227 (1977), pp. 117-125. Zbl0343.22001MR480837
  15. [P6] Iv. Prodanov, Elementary example of a group without characters, Proc. 9th Spring Confer. Math., Sl. Brjag (1980), pp. 203-208. Zbl0569.22004
  16. [S1] L. Stojanov, Weak periodicity and minimality of topological groups (to appear). Zbl0637.22001MR893716
  17. [S2] L. Stojanov, Cardinalities of minimal Abelian groups, Proc. 10th Spring Confer. Math., Sl. Brjag (1981), pp. 203-208. Zbl0571.22003
  18. [S3] L. Stojanov, Some minimal Abelian groups are precompact, Comp. Rend. de l'Acad. Bulg. de Sci., 34 (1981), pp. 473-475. Zbl0472.22001MR624713
  19. [S4] L. Stojanov, On products of minimal and totally minimal groups, Proc. 11th Spring Confer. Math., Sl. Brjag (1982), pp. 287-294. Zbl0528.22001
  20. [St] R. StephensonJr., Minimal topological groups, Math. Ann., 192 (1971), pp. 193-195. Zbl0206.31601MR286934

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