Book Review
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MathSciNet review:
1567408
Full text of review:
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Book Information:
Author:
David L. Armacost
Title:
The structure of locally compact Abelian groups
Additional book information:
Pure and Applied Mathematics: A Series of Monographs and Textbooks, vol. 68, Dekker, New York, 1981, vii + 168 pp., $23.75.
Jean Braconnier, Sur les groupes topologiques localement compacts, J. Math. Pures Appl. (9) 27 (1948), 1–85 (French). MR 25473
Lawrence Corwin, Some remarks on self-dual locally compact Abelian groups, Trans. Amer. Math. Soc. 148 (1970), 613–622. MR 269775, DOI 10.1090/S0002-9947-1970-0269775-4
L. Fuchs, Abelian groups, International Series of Monographs on Pure and Applied Mathematics, Pergamon Press, New York-Oxford-London-Paris, 1960. MR 0111783
Irving Kaplansky, Infinite abelian groups, Revised edition, University of Michigan Press, Ann Arbor, Mich., 1969. MR 0233887
Saharon Shelah, Infinite abelian groups, Whitehead problem and some constructions, Israel J. Math. 18 (1974), 243–256. MR 357114, DOI 10.1007/BF02757281
N. Vilenkin, On direct decompositions of topological groups, Rec. Math. [Mat. Sbornik] N. S. 19(61) (1946), 85–154 (Russian, with English summary). MR 0017283
7. A. Weil, L'Intégration dans les groupes topologiques et ses applications, Hermann, Paris, 1941.
- 1.
- J. Braconnier, Sur les groupes topologiques localment compacts, J. Math. Pures Appl. 27 (1948), 1-85. MR 0025473
- 2.
- L. Corwin, Some remarks on self-dual locally compact Abelian groups, Trans. Amer. Math. Soc. 148 (1970), 613-622. MR 269775
- 3.
- L. Fuchs, Infinite Abelian groups, vols. 1, 2, Academic Press, New York, 1970, 1973. MR 111783
- 4.
- I. Kaplansky, Infinite Abelian groups, Univ. of Michigan Press, Ann Arbor, 1969. MR 233887
- 5.
- S. Shelah, Infinite Abelian groups, Whitehead problem, and some constructions, Israel J. Math. 18 (1974), 243-256. MR 357114
- 6.
- N. Vilenkin, Direct decompositions of topological groups. I; Mat. Sb. (N. S. ) 19(61) (1946), 85-154; Amer. Math. Soc. (1) 8 (1962), 78. MR 17283
- 7.
- A. Weil, L'Intégration dans les groupes topologiques et ses applications, Hermann, Paris, 1941.
Review Information:
Reviewer:
Lawrence Corwin
Journal:
Bull. Amer. Math. Soc.
8 (1983), 346-348
DOI:
https://doi.org/10.1090/S0273-0979-1983-15113-3