The ⊕ c -topology is not completable

Adolf Mader

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1983)

  • Volume: 10, Issue: 4, page 579-586
  • ISSN: 0391-173X

How to cite

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Mader, Adolf. "The $\oplus _c$-topology is not completable." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 10.4 (1983): 579-586. <http://eudml.org/doc/83918>.

@article{Mader1983,
author = {Mader, Adolf},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {functorial topology; Abelian p-group; direct sum of cyclic groups; complete Hausdorff group; Hausdorff completion; projective p-groups; completable},
language = {eng},
number = {4},
pages = {579-586},
publisher = {Scuola normale superiore},
title = {The $\oplus _c$-topology is not completable},
url = {http://eudml.org/doc/83918},
volume = {10},
year = {1983},
}

TY - JOUR
AU - Mader, Adolf
TI - The $\oplus _c$-topology is not completable
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1983
PB - Scuola normale superiore
VL - 10
IS - 4
SP - 579
EP - 586
LA - eng
KW - functorial topology; Abelian p-group; direct sum of cyclic groups; complete Hausdorff group; Hausdorff completion; projective p-groups; completable
UR - http://eudml.org/doc/83918
ER -

References

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  1. [1] K. Benabdallah - J. Irwin, Pure N-high subgroups, p-adic topology and direct sums of cyclic groups, Canad. J. Math., 26 (1974), pp. 322-327. Zbl0292.20048MR333029
  2. [2] D. Boyer - A. Mader, Functorial topologies on abelian groups, Rocky Mountain J. Math., 10 (1980), pp. 695-708. Zbl0465.20053MR595098
  3. [3] B. Charles, Sous-groupes fonctoriels et topologies, Etudes Sur Les Groupes Abeliens, Dunod, Paris, 1968, pp. 75-92. Zbl0179.32701MR240195
  4. [4] D.O. Cutler - R.W. Stringall, A topology for primary abelian groups, Etudes Sur Les Groupes Abeliens, Dunod, Paris, 1968, pp. 93-100. Zbl0206.03403MR245671
  5. [5] G. D'Este, The ⊕c-topology on abelian groups, Ann. della Scuola Norm. Sup. Pisa Cl. Sci., 7 (1980), pp. 241-256. Zbl0439.20034
  6. [6] L. Fuchs, Infinite Abelian Groups, Voll. I, II, Academic Press, New York and London, 1970 and 1973. Zbl0209.05503MR255673
  7. [7] E. Howard, First and second category abelian groups with the n-adic topology, Pacific J. Math., 16 (1966), pp. 323-329. Zbl0136.29101MR207826
  8. [8] A. Mader, The p-adic hull of abelian groups, Transactions AMS, 187 (1974), pp. 217-229. Zbl0283.20037MR352296
  9. [9] A. Mader, Basic concepts of functorial topologies, Abelian Group Theory, Proceedings, Oberwolfach, 1981, Lecture Notes in Mathematics, 874, pp. 251-271, Springer-Verlag, Berlin - Heidelberg - New York, 1981. Zbl0477.20035MR645932
  10. [10] Ch. Megibben, Large subgroups and small homomorphisms, Michigan Math. J., 13 (1966), pp. 153-160. Zbl0166.02502MR195939

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