On coverings in the lattice of all group topologies of arbitrary Abelian groups |
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| Authors: | V. I. Arnautov |
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| Affiliation: | (1) Institute of Mathematics and Informatics, Chişinau, Moldova |
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| Abstract: | ![]()
The remainder of the completion of a topological abelian group (G, τ0) contains a nonzero element of prime order if and only if G admits a Hausdorff group topology τ1 that precedes the given topology and is such that (G, τ0) has no base of closed zero neighborhoods in (G, τ1). |
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| Keywords: | abelian group group topology lattice of topologies covering preceding topology completion |
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