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Sui gruppi abeliani ridotti che ammettono una unica topologia compatta. (Italian) Zbl 0248.22002


MSC:

22A05 Structure of general topological groups
22C05 Compact groups
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References:

[1] Fuchs , L. : Abelian groups , Budapest 1958 . MR 106942 | Zbl 0091.02704 · Zbl 0091.02704
[2] Fuchs , L. : On character groups of discrete abelian groups , Acta Math. Acad. Sci. Hung. , 10 ( 1959 ), 133 - 140 . MR 104729 | Zbl 0087.25603 · Zbl 0087.25603 · doi:10.1007/BF02063294
[3] Harrison , D.K. : Infinite abelian groups and homological methods , Ann. Math. , 69 ( 1959 ), 366 - 391 . MR 104728 | Zbl 0100.02901 · Zbl 0100.02901 · doi:10.2307/1970188
[4] Hulanicki , A. : Algebraic characterization of abelian divisible groups which admit compact topologies , Fund. Math. 44 ( 1957 ), 192 - 197 . MR 92101 | Zbl 0082.02604 · Zbl 0082.02604
[5] Hulanicki , A. : Algebraic structure of compact abelian groups, Bull Acad . Pol. Sci. , 10 ( 1962 ), 71 - 75 . MR 95900 | Zbl 0107.26002 · Zbl 0107.26002
[6] Kaplansky , I. : Infinite abelian groups , Ann Arbor 1954 . MR 65561 | Zbl 0194.04402 · Zbl 0194.04402
[7] Orsatti , A. : Una caratterizzazione dei gruppi abeliani compatti o localmente compatti nella topologia naturale , Rend. Sem. Mat. Univ. Padova , 39 ( 1967 ), 219 - 225 . Numdam | MR 227308 | Zbl 0232.22012 · Zbl 0232.22012
[8] Pontryagin , L.S. : Topological groups , 2 nd Ed., New York 1966 . MR 201557 · Zbl 0022.17104
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