Compact topologically torsion elements of topological abelian groups
Loth, Peter
Rendiconti del Seminario Matematico della Università di Padova, Tome 113 (2005), p. 117-123 / Harvested from Numdam
Publié le : 2005-01-01
@article{RSMUP_2005__113__117_0,
     author = {Loth, Peter},
     title = {Compact topologically torsion elements of topological abelian groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {113},
     year = {2005},
     pages = {117-123},
     mrnumber = {2168983},
     zbl = {1117.22002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2005__113__117_0}
}
Loth, Peter. Compact topologically torsion elements of topological abelian groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 113 (2005) pp. 117-123. http://gdmltest.u-ga.fr/item/RSMUP_2005__113__117_0/

[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. | MR 637201 | Zbl 0509.22003

[B] J. Braconnier, Sur les groupes topologiques localement compacts, J. Math. Pures Appl., N.S. 27 (1948), pp. 1-85. | MR 25473 | Zbl 0034.16401

[D] D. Dikranjan, Topologically torsion elements of topological groups, Topology Proceedings, Vol. 26 (2001-2002), pp. 505-532. | MR 2032835 | Zbl 1082.22001

[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. | MR 1015288 | Zbl 0687.22001

[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. | MR 855504 | Zbl 0612.22002

[F] L. Fuchs, Infinite Abelian Groups, Vol. I, Academic Press, New York, 1970. | MR 255673 | Zbl 0209.05503

[HR] E. Hewitt - K. Ross, Abstract Harmonic Analysis, Vol. I, Springer Verlag, Berlin, 1963. | MR 551496 | Zbl 0115.10603

[R] L. Robertson, Connectivity, divisibility and torsion. Trans. Amer. Math. Soc. 128 (1967), pp. 482-505. | MR 217211 | Zbl 0153.04401

[S] L. Stoyanov, Weak periodicity and minimality of topological groups. Annuaire Univ. Sofia Fac. Math. Mec. 73 (1978/79), pp. 155-167. | MR 893716 | Zbl 0637.22001

[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).] | MR 17283 | Zbl 0061.04302