Compact topologically torsion elements of topological abelian groups

Peter Loth

Rendiconti del Seminario Matematico della Università di Padova (2005)

  • Volume: 113, page 117-123
  • ISSN: 0041-8994

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Loth, Peter. "Compact topologically torsion elements of topological abelian groups." Rendiconti del Seminario Matematico della Università di Padova 113 (2005): 117-123. <http://eudml.org/doc/108651>.

@article{Loth2005,
author = {Loth, Peter},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {117-123},
publisher = {Seminario Matematico of the University of Padua},
title = {Compact topologically torsion elements of topological abelian groups},
url = {http://eudml.org/doc/108651},
volume = {113},
year = {2005},
}

TY - JOUR
AU - Loth, Peter
TI - Compact topologically torsion elements of topological abelian groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2005
PB - Seminario Matematico of the University of Padua
VL - 113
SP - 117
EP - 123
LA - eng
UR - http://eudml.org/doc/108651
ER -

References

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  1. [A] D. ARMACOST, The Structure of Locally Compact Abelian Groups, Monographs and Textbooks in Pure and Applied Mathematics, Vol. 68, Marcel Dekker Inc., New York-Basel, 1981. Zbl0509.22003MR637201
  2. [B] J. BRACONNIER, Sur les groupes topologiques localement compacts, J. Math. Pures Appl., N.S. 27 (1948), pp. 1-85. Zbl0034.16401MR25473
  3. [D] D. DIKRANJAN, Topologically torsion elements of topological groups, Topology Proceedings, Vol. 26 (2001-2002), pp. 505-532. Zbl1082.22001MR2032835
  4. [DPS] D. DIKRANJAN - I. PRODANOV - L. STOYANOV, Topological Groups: Characters, Dualities, and Minimal Group Topologies, Monographs and Textbooks in Pure and Applied Mathematics, Vol. 130, Marcel Dekker Inc., New York-Basel, 1990. Zbl0687.22001MR1015288
  5. [DS] D. DIKRANJAN - L. STOYANOV, A-classes of minimal abelian groups. Annuaire Univ. Sofia Fac. Math. Mec. 71, Part II (1976/77), pp. 53-62. Zbl0612.22002MR855504
  6. [F] L. FUCHS, Infinite Abelian Groups, Vol. I, Academic Press, New York, 1970. Zbl0209.05503MR255673
  7. [HR] E. HEWITT - K. ROSS, Abstract Harmonic Analysis, Vol. I, Springer Verlag, Berlin, 1963. Zbl0115.10603MR551496
  8. [R] L. ROBERTSON, Connectivity, divisibility and torsion. Trans. Amer. Math. Soc. 128 (1967), pp. 482-505. Zbl0153.04401MR217211
  9. [S] L. STOYANOV, Weak periodicity and minimality of topological groups. Annuaire Univ. Sofia Fac. Math. Mec. 73 (1978/79), pp. 155-167. Zbl0637.22001MR893716
  10. [V] N. VILENKIN, Direct decompositions of topological groups I, Mat. Sb., N. S. 19 (61) (1946), pp. 85-154. [English translation from the Russian by E. Hewitt in A.M.S. Translations, Series 1, Volume 23, Providence, Rhode Island (1950).] Zbl0061.04302MR17283

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