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

Morris, Sidney A.

doi:10.1090/S0002-9939-1972-0294560-4

Locally compact abelian groups and the variety of topological groups generated by the reals
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by Sidney A. Morris

Proc. Amer. Math. Soc. 34 (1972), 290-292

DOI: https://doi.org/10.1090/S0002-9939-1972-0294560-4

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Erratum: Proc. Amer. Math. Soc. 51 (1975), 503.

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.

References

Generating varieties of topological groups

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