The maximum ring topology on the rational number field among those for which the sequence \(1/n\) converges to zero.
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Publication:1873301
DOI10.1016/S0166-8641(02)00110-4zbMath1103.12003MaRDI QIDQ1873301
Publication date: 20 May 2003
Published in: Topology and its Applications (Search for Journal in Brave)
Cites Work
- Completion of the group topology of a countable group
- On countable nondiscrete fields without nontrivial convergent sequences
- TOPOLOGIES ON ABELIAN GROUPS
- ON THE EXTENSION OF THE RING TOPOLOGY OF A $ \sigma$-BOUNDED FIELD TO A SIMPLE TRANSCENDENTAL EXTENSION OF THE FIELD
- Some examples of monothetic groups
- A countable nondiscrete topological field without nontrivial convergent sequences
- Inductive Ring Topologies
- An example of a nontrivial topologization of the field of rational numbers. Complete locally bounded fields
- Construction of group topologies on abelian groups
- Lacunar ring topologies and maximum ring topologies with a prescribed convergent sequence
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