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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Locally compact abelian groups and the variety of topological groups generated by the reals


Author: Sidney A. Morris
Journal: Proc. Amer. Math. Soc. 34 (1972), 290-292
MSC: Primary 22B05
Erratum: Proc. Amer. Math. Soc. 51 (1975), 503.
MathSciNet review: 0294560
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Abstract: An LCA group G can be ``manufactured'' from the group of reals, via repeated operations of taking quotients, subgroups and (arbitrary) cartesian products if and only if G is compactly generated.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0294560-4
PII: S 0002-9939(1972)0294560-4
Keywords: Compactly generated locally compact abelian groups, variety of topological groups
Article copyright: © Copyright 1972 American Mathematical Society