Locally Compact Abelian Groups and the Variety of Topological Groups Generated by the Reals
- 1 July 1972
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 34 (1) , 290-292
- https://doi.org/10.2307/2037947
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.Keywords
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